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Finding the Third Proportional to 124,898.63 and 193,316.06

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Solution

The third proportional to 124,898.63 and 193,316.06 is: 299,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,898.63 : 193,316.06 = 193,316.06 : x
  2. Step 2: Convert to fraction form
    124,898.63/193,316.06 = 193,316.06/x
  3. Step 3: Cross multiply
    124,898.63x = 193,316.06 × 193,316.06
  4. Step 4: Simplify right side
    124,898.63x = 37,371,100,020.50
  5. Step 5: Solve for x
    x = 37,371,100,020.50/124,898.63
  6. Step 6: Final answer
    x = 299,211.46

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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.