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Finding the Third Proportional to 61,416 and 132,528

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Solution

The third proportional to 61,416 and 132,528 is: 285,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 132,528 = 132,528 : x
  2. Step 2: Convert to fraction form
    61,416/132,528 = 132,528/x
  3. Step 3: Cross multiply
    61,416x = 132,528 × 132,528
  4. Step 4: Simplify right side
    61,416x = 17,563,670,784
  5. Step 5: Solve for x
    x = 17,563,670,784/61,416
  6. Step 6: Final answer
    x = 285,978.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.