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Finding the Third Proportional to 75,439.88 and 157,017.38

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Solution

The third proportional to 75,439.88 and 157,017.38 is: 326,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,439.88 : 157,017.38 = 157,017.38 : x
  2. Step 2: Convert to fraction form
    75,439.88/157,017.38 = 157,017.38/x
  3. Step 3: Cross multiply
    75,439.88x = 157,017.38 × 157,017.38
  4. Step 4: Simplify right side
    75,439.88x = 24,654,456,051.89
  5. Step 5: Solve for x
    x = 24,654,456,051.89/75,439.88
  6. Step 6: Final answer
    x = 326,809.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.