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Finding the Third Proportional to 79,564 and 111,534

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Solution

The third proportional to 79,564 and 111,534 is: 156,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,564 : 111,534 = 111,534 : x
  2. Step 2: Convert to fraction form
    79,564/111,534 = 111,534/x
  3. Step 3: Cross multiply
    79,564x = 111,534 × 111,534
  4. Step 4: Simplify right side
    79,564x = 12,439,833,156
  5. Step 5: Solve for x
    x = 12,439,833,156/79,564
  6. Step 6: Final answer
    x = 156,350.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.