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Finding the Third Proportional to 75,330 and 116,709

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Solution

The third proportional to 75,330 and 116,709 is: 180,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 116,709 = 116,709 : x
  2. Step 2: Convert to fraction form
    75,330/116,709 = 116,709/x
  3. Step 3: Cross multiply
    75,330x = 116,709 × 116,709
  4. Step 4: Simplify right side
    75,330x = 13,620,990,681
  5. Step 5: Solve for x
    x = 13,620,990,681/75,330
  6. Step 6: Final answer
    x = 180,817.61

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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.