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Finding the Third Proportional to 75,344 and 116,737

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Solution

The third proportional to 75,344 and 116,737 is: 180,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344 : 116,737 = 116,737 : x
  2. Step 2: Convert to fraction form
    75,344/116,737 = 116,737/x
  3. Step 3: Cross multiply
    75,344x = 116,737 × 116,737
  4. Step 4: Simplify right side
    75,344x = 13,627,527,169
  5. Step 5: Solve for x
    x = 13,627,527,169/75,344
  6. Step 6: Final answer
    x = 180,870.77

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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.