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Finding the Third Proportional to 62,760 and 97,845

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Solution

The third proportional to 62,760 and 97,845 is: 152,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,760 : 97,845 = 97,845 : x
  2. Step 2: Convert to fraction form
    62,760/97,845 = 97,845/x
  3. Step 3: Cross multiply
    62,760x = 97,845 × 97,845
  4. Step 4: Simplify right side
    62,760x = 9,573,644,025
  5. Step 5: Solve for x
    x = 9,573,644,025/62,760
  6. Step 6: Final answer
    x = 152,543.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.