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Finding the Third Proportional to 61,557 and 92,776

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Solution

The third proportional to 61,557 and 92,776 is: 139,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,557 : 92,776 = 92,776 : x
  2. Step 2: Convert to fraction form
    61,557/92,776 = 92,776/x
  3. Step 3: Cross multiply
    61,557x = 92,776 × 92,776
  4. Step 4: Simplify right side
    61,557x = 8,607,386,176
  5. Step 5: Solve for x
    x = 8,607,386,176/61,557
  6. Step 6: Final answer
    x = 139,827.90

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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.