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Finding the Third Proportional to 91,675.13 and 141,832.13

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Solution

The third proportional to 91,675.13 and 141,832.13 is: 219,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,675.13 : 141,832.13 = 141,832.13 : x
  2. Step 2: Convert to fraction form
    91,675.13/141,832.13 = 141,832.13/x
  3. Step 3: Cross multiply
    91,675.13x = 141,832.13 × 141,832.13
  4. Step 4: Simplify right side
    91,675.13x = 20,116,351,682.02
  5. Step 5: Solve for x
    x = 20,116,351,682.02/91,675.13
  6. Step 6: Final answer
    x = 219,430.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.