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Finding the Third Proportional to 91,018 and 142,472

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Solution

The third proportional to 91,018 and 142,472 is: 223,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,018 : 142,472 = 142,472 : x
  2. Step 2: Convert to fraction form
    91,018/142,472 = 142,472/x
  3. Step 3: Cross multiply
    91,018x = 142,472 × 142,472
  4. Step 4: Simplify right side
    91,018x = 20,298,270,784
  5. Step 5: Solve for x
    x = 20,298,270,784/91,018
  6. Step 6: Final answer
    x = 223,013.81

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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.