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Finding the Third Proportional to 96,870 and 130,839

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Solution

The third proportional to 96,870 and 130,839 is: 176,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,870 : 130,839 = 130,839 : x
  2. Step 2: Convert to fraction form
    96,870/130,839 = 130,839/x
  3. Step 3: Cross multiply
    96,870x = 130,839 × 130,839
  4. Step 4: Simplify right side
    96,870x = 17,118,843,921
  5. Step 5: Solve for x
    x = 17,118,843,921/96,870
  6. Step 6: Final answer
    x = 176,719.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.