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Finding the Third Proportional to 47,152.13 and 87,399

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Solution

The third proportional to 47,152.13 and 87,399 is: 161,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152.13 : 87,399 = 87,399 : x
  2. Step 2: Convert to fraction form
    47,152.13/87,399 = 87,399/x
  3. Step 3: Cross multiply
    47,152.13x = 87,399 × 87,399
  4. Step 4: Simplify right side
    47,152.13x = 7,638,585,201
  5. Step 5: Solve for x
    x = 7,638,585,201/47,152.13
  6. Step 6: Final answer
    x = 161,998.75

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.