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Finding the Third Proportional to 79,118 and 105,688

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Solution

The third proportional to 79,118 and 105,688 is: 141,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,118 : 105,688 = 105,688 : x
  2. Step 2: Convert to fraction form
    79,118/105,688 = 105,688/x
  3. Step 3: Cross multiply
    79,118x = 105,688 × 105,688
  4. Step 4: Simplify right side
    79,118x = 11,169,953,344
  5. Step 5: Solve for x
    x = 11,169,953,344/79,118
  6. Step 6: Final answer
    x = 141,180.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.