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Finding the Third Proportional to 91,602 and 145,710

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Solution

The third proportional to 91,602 and 145,710 is: 231,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,602 : 145,710 = 145,710 : x
  2. Step 2: Convert to fraction form
    91,602/145,710 = 145,710/x
  3. Step 3: Cross multiply
    91,602x = 145,710 × 145,710
  4. Step 4: Simplify right side
    91,602x = 21,231,404,100
  5. Step 5: Solve for x
    x = 21,231,404,100/91,602
  6. Step 6: Final answer
    x = 231,778.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.