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Finding the Third Proportional to 60,292.50 and 130,964.50

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Solution

The third proportional to 60,292.50 and 130,964.50 is: 284,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,292.50 : 130,964.50 = 130,964.50 : x
  2. Step 2: Convert to fraction form
    60,292.50/130,964.50 = 130,964.50/x
  3. Step 3: Cross multiply
    60,292.50x = 130,964.50 × 130,964.50
  4. Step 4: Simplify right side
    60,292.50x = 17,151,700,260.25
  5. Step 5: Solve for x
    x = 17,151,700,260.25/60,292.50
  6. Step 6: Final answer
    x = 284,474.86

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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.