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Finding the Third Proportional to 97,719 and 146,822

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Solution

The third proportional to 97,719 and 146,822 is: 220,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,719 : 146,822 = 146,822 : x
  2. Step 2: Convert to fraction form
    97,719/146,822 = 146,822/x
  3. Step 3: Cross multiply
    97,719x = 146,822 × 146,822
  4. Step 4: Simplify right side
    97,719x = 21,556,699,684
  5. Step 5: Solve for x
    x = 21,556,699,684/97,719
  6. Step 6: Final answer
    x = 220,598.86

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Why These Related Problems?

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