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Finding the Third Proportional to 48,026.50 and 77,165.75

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Solution

The third proportional to 48,026.50 and 77,165.75 is: 123,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,026.50 : 77,165.75 = 77,165.75 : x
  2. Step 2: Convert to fraction form
    48,026.50/77,165.75 = 77,165.75/x
  3. Step 3: Cross multiply
    48,026.50x = 77,165.75 × 77,165.75
  4. Step 4: Simplify right side
    48,026.50x = 5,954,552,973.06
  5. Step 5: Solve for x
    x = 5,954,552,973.06/48,026.50
  6. Step 6: Final answer
    x = 123,984.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.