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Finding the Third Proportional to 102,618 and 157,626

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Solution

The third proportional to 102,618 and 157,626 is: 242,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,618 : 157,626 = 157,626 : x
  2. Step 2: Convert to fraction form
    102,618/157,626 = 157,626/x
  3. Step 3: Cross multiply
    102,618x = 157,626 × 157,626
  4. Step 4: Simplify right side
    102,618x = 24,845,955,876
  5. Step 5: Solve for x
    x = 24,845,955,876/102,618
  6. Step 6: Final answer
    x = 242,120.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.