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Finding the Third Proportional to 71,906.25 and 112,805.25

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Solution

The third proportional to 71,906.25 and 112,805.25 is: 176,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,906.25 : 112,805.25 = 112,805.25 : x
  2. Step 2: Convert to fraction form
    71,906.25/112,805.25 = 112,805.25/x
  3. Step 3: Cross multiply
    71,906.25x = 112,805.25 × 112,805.25
  4. Step 4: Simplify right side
    71,906.25x = 12,725,024,427.56
  5. Step 5: Solve for x
    x = 12,725,024,427.56/71,906.25
  6. Step 6: Final answer
    x = 176,966.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.