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Finding the Third Proportional to 73,332 and 114,380

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Solution

The third proportional to 73,332 and 114,380 is: 178,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,332 : 114,380 = 114,380 : x
  2. Step 2: Convert to fraction form
    73,332/114,380 = 114,380/x
  3. Step 3: Cross multiply
    73,332x = 114,380 × 114,380
  4. Step 4: Simplify right side
    73,332x = 13,082,784,400
  5. Step 5: Solve for x
    x = 13,082,784,400/73,332
  6. Step 6: Final answer
    x = 178,404.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.