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Finding the Third Proportional to 62,679.75 and 130,543.50

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Solution

The third proportional to 62,679.75 and 130,543.50 is: 271,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,679.75 : 130,543.50 = 130,543.50 : x
  2. Step 2: Convert to fraction form
    62,679.75/130,543.50 = 130,543.50/x
  3. Step 3: Cross multiply
    62,679.75x = 130,543.50 × 130,543.50
  4. Step 4: Simplify right side
    62,679.75x = 17,041,605,392.25
  5. Step 5: Solve for x
    x = 17,041,605,392.25/62,679.75
  6. Step 6: Final answer
    x = 271,883.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.