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Finding the Third Proportional to 99,276 and 138,870

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Solution

The third proportional to 99,276 and 138,870 is: 194,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,276 : 138,870 = 138,870 : x
  2. Step 2: Convert to fraction form
    99,276/138,870 = 138,870/x
  3. Step 3: Cross multiply
    99,276x = 138,870 × 138,870
  4. Step 4: Simplify right side
    99,276x = 19,284,876,900
  5. Step 5: Solve for x
    x = 19,284,876,900/99,276
  6. Step 6: Final answer
    x = 194,255.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.