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Finding the Third Proportional to 91,032 and 142,502

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Solution

The third proportional to 91,032 and 142,502 is: 223,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,032 : 142,502 = 142,502 : x
  2. Step 2: Convert to fraction form
    91,032/142,502 = 142,502/x
  3. Step 3: Cross multiply
    91,032x = 142,502 × 142,502
  4. Step 4: Simplify right side
    91,032x = 20,306,820,004
  5. Step 5: Solve for x
    x = 20,306,820,004/91,032
  6. Step 6: Final answer
    x = 223,073.42

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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.