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Finding the Third Proportional to 74,962.13 and 159,634.13

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Solution

The third proportional to 74,962.13 and 159,634.13 is: 339,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,962.13 : 159,634.13 = 159,634.13 : x
  2. Step 2: Convert to fraction form
    74,962.13/159,634.13 = 159,634.13/x
  3. Step 3: Cross multiply
    74,962.13x = 159,634.13 × 159,634.13
  4. Step 4: Simplify right side
    74,962.13x = 25,483,053,864.52
  5. Step 5: Solve for x
    x = 25,483,053,864.52/74,962.13
  6. Step 6: Final answer
    x = 339,945.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.