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Finding the Third Proportional to 47,705 and 75,521

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Solution

The third proportional to 47,705 and 75,521 is: 119,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,705 : 75,521 = 75,521 : x
  2. Step 2: Convert to fraction form
    47,705/75,521 = 75,521/x
  3. Step 3: Cross multiply
    47,705x = 75,521 × 75,521
  4. Step 4: Simplify right side
    47,705x = 5,703,421,441
  5. Step 5: Solve for x
    x = 5,703,421,441/47,705
  6. Step 6: Final answer
    x = 119,556.05

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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.