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Finding the Third Proportional to 62,718 and 92,070

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Solution

The third proportional to 62,718 and 92,070 is: 135,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,718 : 92,070 = 92,070 : x
  2. Step 2: Convert to fraction form
    62,718/92,070 = 92,070/x
  3. Step 3: Cross multiply
    62,718x = 92,070 × 92,070
  4. Step 4: Simplify right side
    62,718x = 8,476,884,900
  5. Step 5: Solve for x
    x = 8,476,884,900/62,718
  6. Step 6: Final answer
    x = 135,158.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.