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Finding the Third Proportional to 60,282.50 and 130,943.25

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Solution

The third proportional to 60,282.50 and 130,943.25 is: 284,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,282.50 : 130,943.25 = 130,943.25 : x
  2. Step 2: Convert to fraction form
    60,282.50/130,943.25 = 130,943.25/x
  3. Step 3: Cross multiply
    60,282.50x = 130,943.25 × 130,943.25
  4. Step 4: Simplify right side
    60,282.50x = 17,146,134,720.56
  5. Step 5: Solve for x
    x = 17,146,134,720.56/60,282.50
  6. Step 6: Final answer
    x = 284,429.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.