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Finding the Third Proportional to 97,787.25 and 161,800.88

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Solution

The third proportional to 97,787.25 and 161,800.88 is: 267,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,787.25 : 161,800.88 = 161,800.88 : x
  2. Step 2: Convert to fraction form
    97,787.25/161,800.88 = 161,800.88/x
  3. Step 3: Cross multiply
    97,787.25x = 161,800.88 × 161,800.88
  4. Step 4: Simplify right side
    97,787.25x = 26,179,523,150.77
  5. Step 5: Solve for x
    x = 26,179,523,150.77/97,787.25
  6. Step 6: Final answer
    x = 267,719.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.