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Finding the Third Proportional to 61,965 and 93,528

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Solution

The third proportional to 61,965 and 93,528 is: 141,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,965 : 93,528 = 93,528 : x
  2. Step 2: Convert to fraction form
    61,965/93,528 = 93,528/x
  3. Step 3: Cross multiply
    61,965x = 93,528 × 93,528
  4. Step 4: Simplify right side
    61,965x = 8,747,486,784
  5. Step 5: Solve for x
    x = 8,747,486,784/61,965
  6. Step 6: Final answer
    x = 141,168.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.