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Finding the Third Proportional to 113,196 and 243,096

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Solution

The third proportional to 113,196 and 243,096 is: 522,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,196 : 243,096 = 243,096 : x
  2. Step 2: Convert to fraction form
    113,196/243,096 = 243,096/x
  3. Step 3: Cross multiply
    113,196x = 243,096 × 243,096
  4. Step 4: Simplify right side
    113,196x = 59,095,665,216
  5. Step 5: Solve for x
    x = 59,095,665,216/113,196
  6. Step 6: Final answer
    x = 522,064.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.