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Finding the Third Proportional to 91,113 and 142,914

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Solution

The third proportional to 91,113 and 142,914 is: 224,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,113 : 142,914 = 142,914 : x
  2. Step 2: Convert to fraction form
    91,113/142,914 = 142,914/x
  3. Step 3: Cross multiply
    91,113x = 142,914 × 142,914
  4. Step 4: Simplify right side
    91,113x = 20,424,411,396
  5. Step 5: Solve for x
    x = 20,424,411,396/91,113
  6. Step 6: Final answer
    x = 224,165.72

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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.