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Finding the Third Proportional to 71,618 and 154,624

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Solution

The third proportional to 71,618 and 154,624 is: 333,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,618 : 154,624 = 154,624 : x
  2. Step 2: Convert to fraction form
    71,618/154,624 = 154,624/x
  3. Step 3: Cross multiply
    71,618x = 154,624 × 154,624
  4. Step 4: Simplify right side
    71,618x = 23,908,581,376
  5. Step 5: Solve for x
    x = 23,908,581,376/71,618
  6. Step 6: Final answer
    x = 333,834.81

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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.