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Finding the Third Proportional to 76,142 and 163,624

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Solution

The third proportional to 76,142 and 163,624 is: 351,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142 : 163,624 = 163,624 : x
  2. Step 2: Convert to fraction form
    76,142/163,624 = 163,624/x
  3. Step 3: Cross multiply
    76,142x = 163,624 × 163,624
  4. Step 4: Simplify right side
    76,142x = 26,772,813,376
  5. Step 5: Solve for x
    x = 26,772,813,376/76,142
  6. Step 6: Final answer
    x = 351,616.89

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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.