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Finding the Third Proportional to 66,988 and 140,870

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Solution

The third proportional to 66,988 and 140,870 is: 296,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,988 : 140,870 = 140,870 : x
  2. Step 2: Convert to fraction form
    66,988/140,870 = 140,870/x
  3. Step 3: Cross multiply
    66,988x = 140,870 × 140,870
  4. Step 4: Simplify right side
    66,988x = 19,844,356,900
  5. Step 5: Solve for x
    x = 19,844,356,900/66,988
  6. Step 6: Final answer
    x = 296,237.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.