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Finding the Third Proportional to 42,220 and 61,156

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Solution

The third proportional to 42,220 and 61,156 is: 88,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,220 : 61,156 = 61,156 : x
  2. Step 2: Convert to fraction form
    42,220/61,156 = 61,156/x
  3. Step 3: Cross multiply
    42,220x = 61,156 × 61,156
  4. Step 4: Simplify right side
    42,220x = 3,740,056,336
  5. Step 5: Solve for x
    x = 3,740,056,336/42,220
  6. Step 6: Final answer
    x = 88,584.94

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.