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Finding the Third Proportional to 65,659.50 and 101,652.75

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Solution

The third proportional to 65,659.50 and 101,652.75 is: 157,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,659.50 : 101,652.75 = 101,652.75 : x
  2. Step 2: Convert to fraction form
    65,659.50/101,652.75 = 101,652.75/x
  3. Step 3: Cross multiply
    65,659.50x = 101,652.75 × 101,652.75
  4. Step 4: Simplify right side
    65,659.50x = 10,333,281,582.56
  5. Step 5: Solve for x
    x = 10,333,281,582.56/65,659.50
  6. Step 6: Final answer
    x = 157,376.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.