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Finding the Third Proportional to 65,470.50 and 100,108.13

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Solution

The third proportional to 65,470.50 and 100,108.13 is: 153,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,470.50 : 100,108.13 = 100,108.13 : x
  2. Step 2: Convert to fraction form
    65,470.50/100,108.13 = 100,108.13/x
  3. Step 3: Cross multiply
    65,470.50x = 100,108.13 × 100,108.13
  4. Step 4: Simplify right side
    65,470.50x = 10,021,636,691.02
  5. Step 5: Solve for x
    x = 10,021,636,691.02/65,470.50
  6. Step 6: Final answer
    x = 153,071.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.