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Finding the Third Proportional to 74,701 and 160,730

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Solution

The third proportional to 74,701 and 160,730 is: 345,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,701 : 160,730 = 160,730 : x
  2. Step 2: Convert to fraction form
    74,701/160,730 = 160,730/x
  3. Step 3: Cross multiply
    74,701x = 160,730 × 160,730
  4. Step 4: Simplify right side
    74,701x = 25,834,132,900
  5. Step 5: Solve for x
    x = 25,834,132,900/74,701
  6. Step 6: Final answer
    x = 345,833.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.