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Finding the Third Proportional to 96,701 and 147,830

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Solution

The third proportional to 96,701 and 147,830 is: 225,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,701 : 147,830 = 147,830 : x
  2. Step 2: Convert to fraction form
    96,701/147,830 = 147,830/x
  3. Step 3: Cross multiply
    96,701x = 147,830 × 147,830
  4. Step 4: Simplify right side
    96,701x = 21,853,708,900
  5. Step 5: Solve for x
    x = 21,853,708,900/96,701
  6. Step 6: Final answer
    x = 225,992.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.