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Finding the Third Proportional to 67,972.50 and 146,296.13

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Solution

The third proportional to 67,972.50 and 146,296.13 is: 314,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,972.50 : 146,296.13 = 146,296.13 : x
  2. Step 2: Convert to fraction form
    67,972.50/146,296.13 = 146,296.13/x
  3. Step 3: Cross multiply
    67,972.50x = 146,296.13 × 146,296.13
  4. Step 4: Simplify right side
    67,972.50x = 21,402,556,190.02
  5. Step 5: Solve for x
    x = 21,402,556,190.02/67,972.50
  6. Step 6: Final answer
    x = 314,870.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.