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Finding the Third Proportional to 91,076 and 138,459

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Solution

The third proportional to 91,076 and 138,459 is: 210,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,076 : 138,459 = 138,459 : x
  2. Step 2: Convert to fraction form
    91,076/138,459 = 138,459/x
  3. Step 3: Cross multiply
    91,076x = 138,459 × 138,459
  4. Step 4: Simplify right side
    91,076x = 19,170,894,681
  5. Step 5: Solve for x
    x = 19,170,894,681/91,076
  6. Step 6: Final answer
    x = 210,493.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.