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Finding the Third Proportional to 78,005 and 117,559

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Solution

The third proportional to 78,005 and 117,559 is: 177,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005 : 117,559 = 117,559 : x
  2. Step 2: Convert to fraction form
    78,005/117,559 = 117,559/x
  3. Step 3: Cross multiply
    78,005x = 117,559 × 117,559
  4. Step 4: Simplify right side
    78,005x = 13,820,118,481
  5. Step 5: Solve for x
    x = 13,820,118,481/78,005
  6. Step 6: Final answer
    x = 177,169.65

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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.