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Finding the Third Proportional to 91,114 and 142,919

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Solution

The third proportional to 91,114 and 142,919 is: 224,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,114 : 142,919 = 142,919 : x
  2. Step 2: Convert to fraction form
    91,114/142,919 = 142,919/x
  3. Step 3: Cross multiply
    91,114x = 142,919 × 142,919
  4. Step 4: Simplify right side
    91,114x = 20,425,840,561
  5. Step 5: Solve for x
    x = 20,425,840,561/91,114
  6. Step 6: Final answer
    x = 224,178.95

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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.