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Finding the Third Proportional to 32,306 and 68,521

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Solution

The third proportional to 32,306 and 68,521 is: 145,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306 : 68,521 = 68,521 : x
  2. Step 2: Convert to fraction form
    32,306/68,521 = 68,521/x
  3. Step 3: Cross multiply
    32,306x = 68,521 × 68,521
  4. Step 4: Simplify right side
    32,306x = 4,695,127,441
  5. Step 5: Solve for x
    x = 4,695,127,441/32,306
  6. Step 6: Final answer
    x = 145,332.99

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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.