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Finding the Third Proportional to 123,292.13 and 183,799.13

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Solution

The third proportional to 123,292.13 and 183,799.13 is: 274,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,292.13 : 183,799.13 = 183,799.13 : x
  2. Step 2: Convert to fraction form
    123,292.13/183,799.13 = 183,799.13/x
  3. Step 3: Cross multiply
    123,292.13x = 183,799.13 × 183,799.13
  4. Step 4: Simplify right side
    123,292.13x = 33,782,118,350.77
  5. Step 5: Solve for x
    x = 33,782,118,350.77/123,292.13
  6. Step 6: Final answer
    x = 274,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.