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Finding the Third Proportional to 65,432.25 and 100,707.75

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Solution

The third proportional to 65,432.25 and 100,707.75 is: 155,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432.25 : 100,707.75 = 100,707.75 : x
  2. Step 2: Convert to fraction form
    65,432.25/100,707.75 = 100,707.75/x
  3. Step 3: Cross multiply
    65,432.25x = 100,707.75 × 100,707.75
  4. Step 4: Simplify right side
    65,432.25x = 10,142,050,910.06
  5. Step 5: Solve for x
    x = 10,142,050,910.06/65,432.25
  6. Step 6: Final answer
    x = 155,000.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.