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Finding the Third Proportional to 105,117 and 158,769

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Solution

The third proportional to 105,117 and 158,769 is: 239,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117 : 158,769 = 158,769 : x
  2. Step 2: Convert to fraction form
    105,117/158,769 = 158,769/x
  3. Step 3: Cross multiply
    105,117x = 158,769 × 158,769
  4. Step 4: Simplify right side
    105,117x = 25,207,595,361
  5. Step 5: Solve for x
    x = 25,207,595,361/105,117
  6. Step 6: Final answer
    x = 239,805.13

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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.