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Finding the Third Proportional to 103,822 and 159,159

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Solution

The third proportional to 103,822 and 159,159 is: 243,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,822 : 159,159 = 159,159 : x
  2. Step 2: Convert to fraction form
    103,822/159,159 = 159,159/x
  3. Step 3: Cross multiply
    103,822x = 159,159 × 159,159
  4. Step 4: Simplify right side
    103,822x = 25,331,587,281
  5. Step 5: Solve for x
    x = 25,331,587,281/103,822
  6. Step 6: Final answer
    x = 243,990.55

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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.