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Finding the Third Proportional to 75,498 and 159,988

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Solution

The third proportional to 75,498 and 159,988 is: 339,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,498 : 159,988 = 159,988 : x
  2. Step 2: Convert to fraction form
    75,498/159,988 = 159,988/x
  3. Step 3: Cross multiply
    75,498x = 159,988 × 159,988
  4. Step 4: Simplify right side
    75,498x = 25,596,160,144
  5. Step 5: Solve for x
    x = 25,596,160,144/75,498
  6. Step 6: Final answer
    x = 339,030.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.