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Finding the Third Proportional to 65,432.25 and 98,695.50

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Solution

The third proportional to 65,432.25 and 98,695.50 is: 148,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432.25 : 98,695.50 = 98,695.50 : x
  2. Step 2: Convert to fraction form
    65,432.25/98,695.50 = 98,695.50/x
  3. Step 3: Cross multiply
    65,432.25x = 98,695.50 × 98,695.50
  4. Step 4: Simplify right side
    65,432.25x = 9,740,801,720.25
  5. Step 5: Solve for x
    x = 9,740,801,720.25/65,432.25
  6. Step 6: Final answer
    x = 148,868.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.