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Finding the Third Proportional to 73,618 and 158,154

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Solution

The third proportional to 73,618 and 158,154 is: 339,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,618 : 158,154 = 158,154 : x
  2. Step 2: Convert to fraction form
    73,618/158,154 = 158,154/x
  3. Step 3: Cross multiply
    73,618x = 158,154 × 158,154
  4. Step 4: Simplify right side
    73,618x = 25,012,687,716
  5. Step 5: Solve for x
    x = 25,012,687,716/73,618
  6. Step 6: Final answer
    x = 339,763.21

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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.