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Finding the Third Proportional to 67,730 and 146,596

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Solution

The third proportional to 67,730 and 146,596 is: 317,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,730 : 146,596 = 146,596 : x
  2. Step 2: Convert to fraction form
    67,730/146,596 = 146,596/x
  3. Step 3: Cross multiply
    67,730x = 146,596 × 146,596
  4. Step 4: Simplify right side
    67,730x = 21,490,387,216
  5. Step 5: Solve for x
    x = 21,490,387,216/67,730
  6. Step 6: Final answer
    x = 317,294.95

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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.