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Finding the Third Proportional to 91,552 and 141,684

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Solution

The third proportional to 91,552 and 141,684 is: 219,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,552 : 141,684 = 141,684 : x
  2. Step 2: Convert to fraction form
    91,552/141,684 = 141,684/x
  3. Step 3: Cross multiply
    91,552x = 141,684 × 141,684
  4. Step 4: Simplify right side
    91,552x = 20,074,355,856
  5. Step 5: Solve for x
    x = 20,074,355,856/91,552
  6. Step 6: Final answer
    x = 219,267.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.