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Finding the Third Proportional to 74,041.88 and 159,904.13

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Solution

The third proportional to 74,041.88 and 159,904.13 is: 345,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,041.88 : 159,904.13 = 159,904.13 : x
  2. Step 2: Convert to fraction form
    74,041.88/159,904.13 = 159,904.13/x
  3. Step 3: Cross multiply
    74,041.88x = 159,904.13 × 159,904.13
  4. Step 4: Simplify right side
    74,041.88x = 25,569,329,192.02
  5. Step 5: Solve for x
    x = 25,569,329,192.02/74,041.88
  6. Step 6: Final answer
    x = 345,336.06

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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.