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Finding the Third Proportional to 124,845.75 and 193,096.13

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Solution

The third proportional to 124,845.75 and 193,096.13 is: 298,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,845.75 : 193,096.13 = 193,096.13 : x
  2. Step 2: Convert to fraction form
    124,845.75/193,096.13 = 193,096.13/x
  3. Step 3: Cross multiply
    124,845.75x = 193,096.13 × 193,096.13
  4. Step 4: Simplify right side
    124,845.75x = 37,286,113,490.02
  5. Step 5: Solve for x
    x = 37,286,113,490.02/124,845.75
  6. Step 6: Final answer
    x = 298,657.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.