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Finding the Third Proportional to 77,656 and 122,741

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Solution

The third proportional to 77,656 and 122,741 is: 194,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656 : 122,741 = 122,741 : x
  2. Step 2: Convert to fraction form
    77,656/122,741 = 122,741/x
  3. Step 3: Cross multiply
    77,656x = 122,741 × 122,741
  4. Step 4: Simplify right side
    77,656x = 15,065,353,081
  5. Step 5: Solve for x
    x = 15,065,353,081/77,656
  6. Step 6: Final answer
    x = 194,001.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.