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Finding the Third Proportional to 104,870 and 157,377

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Solution

The third proportional to 104,870 and 157,377 is: 236,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,870 : 157,377 = 157,377 : x
  2. Step 2: Convert to fraction form
    104,870/157,377 = 157,377/x
  3. Step 3: Cross multiply
    104,870x = 157,377 × 157,377
  4. Step 4: Simplify right side
    104,870x = 24,767,520,129
  5. Step 5: Solve for x
    x = 24,767,520,129/104,870
  6. Step 6: Final answer
    x = 236,173.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.