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Finding the Third Proportional to 76,436 and 112,407

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Solution

The third proportional to 76,436 and 112,407 is: 165,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,436 : 112,407 = 112,407 : x
  2. Step 2: Convert to fraction form
    76,436/112,407 = 112,407/x
  3. Step 3: Cross multiply
    76,436x = 112,407 × 112,407
  4. Step 4: Simplify right side
    76,436x = 12,635,333,649
  5. Step 5: Solve for x
    x = 12,635,333,649/76,436
  6. Step 6: Final answer
    x = 165,306.06

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