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Finding the Third Proportional to 61,776 and 92,960

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Solution

The third proportional to 61,776 and 92,960 is: 139,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,776 : 92,960 = 92,960 : x
  2. Step 2: Convert to fraction form
    61,776/92,960 = 92,960/x
  3. Step 3: Cross multiply
    61,776x = 92,960 × 92,960
  4. Step 4: Simplify right side
    61,776x = 8,641,561,600
  5. Step 5: Solve for x
    x = 8,641,561,600/61,776
  6. Step 6: Final answer
    x = 139,885.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.