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Finding the Third Proportional to 47,632 and 75,357

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Solution

The third proportional to 47,632 and 75,357 is: 119,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,632 : 75,357 = 75,357 : x
  2. Step 2: Convert to fraction form
    47,632/75,357 = 75,357/x
  3. Step 3: Cross multiply
    47,632x = 75,357 × 75,357
  4. Step 4: Simplify right side
    47,632x = 5,678,677,449
  5. Step 5: Solve for x
    x = 5,678,677,449/47,632
  6. Step 6: Final answer
    x = 119,219.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.