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Finding the Third Proportional to 68,332.50 and 147,897

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Solution

The third proportional to 68,332.50 and 147,897 is: 320,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,332.50 : 147,897 = 147,897 : x
  2. Step 2: Convert to fraction form
    68,332.50/147,897 = 147,897/x
  3. Step 3: Cross multiply
    68,332.50x = 147,897 × 147,897
  4. Step 4: Simplify right side
    68,332.50x = 21,873,522,609
  5. Step 5: Solve for x
    x = 21,873,522,609/68,332.50
  6. Step 6: Final answer
    x = 320,104.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.