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Finding the Third Proportional to 67,618 and 144,282

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Solution

The third proportional to 67,618 and 144,282 is: 307,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,618 : 144,282 = 144,282 : x
  2. Step 2: Convert to fraction form
    67,618/144,282 = 144,282/x
  3. Step 3: Cross multiply
    67,618x = 144,282 × 144,282
  4. Step 4: Simplify right side
    67,618x = 20,817,295,524
  5. Step 5: Solve for x
    x = 20,817,295,524/67,618
  6. Step 6: Final answer
    x = 307,866.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.