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Finding the Third Proportional to 63,948 and 96,822

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Solution

The third proportional to 63,948 and 96,822 is: 146,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,948 : 96,822 = 96,822 : x
  2. Step 2: Convert to fraction form
    63,948/96,822 = 96,822/x
  3. Step 3: Cross multiply
    63,948x = 96,822 × 96,822
  4. Step 4: Simplify right side
    63,948x = 9,374,499,684
  5. Step 5: Solve for x
    x = 9,374,499,684/63,948
  6. Step 6: Final answer
    x = 146,595.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.