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Finding the Third Proportional to 47,896 and 75,540

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Solution

The third proportional to 47,896 and 75,540 is: 119,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896 : 75,540 = 75,540 : x
  2. Step 2: Convert to fraction form
    47,896/75,540 = 75,540/x
  3. Step 3: Cross multiply
    47,896x = 75,540 × 75,540
  4. Step 4: Simplify right side
    47,896x = 5,706,291,600
  5. Step 5: Solve for x
    x = 5,706,291,600/47,896
  6. Step 6: Final answer
    x = 119,139.21

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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.