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Finding the Third Proportional to 77,967.38 and 124,101.75

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Solution

The third proportional to 77,967.38 and 124,101.75 is: 197,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.38 : 124,101.75 = 124,101.75 : x
  2. Step 2: Convert to fraction form
    77,967.38/124,101.75 = 124,101.75/x
  3. Step 3: Cross multiply
    77,967.38x = 124,101.75 × 124,101.75
  4. Step 4: Simplify right side
    77,967.38x = 15,401,244,353.06
  5. Step 5: Solve for x
    x = 15,401,244,353.06/77,967.38
  6. Step 6: Final answer
    x = 197,534.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.