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Finding the Third Proportional to 68,484 and 91,602

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Solution

The third proportional to 68,484 and 91,602 is: 122,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,484 : 91,602 = 91,602 : x
  2. Step 2: Convert to fraction form
    68,484/91,602 = 91,602/x
  3. Step 3: Cross multiply
    68,484x = 91,602 × 91,602
  4. Step 4: Simplify right side
    68,484x = 8,390,926,404
  5. Step 5: Solve for x
    x = 8,390,926,404/68,484
  6. Step 6: Final answer
    x = 122,523.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.