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Finding the Third Proportional to 91,431.75 and 121,354.88

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Solution

The third proportional to 91,431.75 and 121,354.88 is: 161,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,431.75 : 121,354.88 = 121,354.88 : x
  2. Step 2: Convert to fraction form
    91,431.75/121,354.88 = 121,354.88/x
  3. Step 3: Cross multiply
    91,431.75x = 121,354.88 × 121,354.88
  4. Step 4: Simplify right side
    91,431.75x = 14,727,005,686.27
  5. Step 5: Solve for x
    x = 14,727,005,686.27/91,431.75
  6. Step 6: Final answer
    x = 161,071.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.