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Finding the Third Proportional to 48,028.25 and 77,168.25

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Solution

The third proportional to 48,028.25 and 77,168.25 is: 123,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,028.25 : 77,168.25 = 77,168.25 : x
  2. Step 2: Convert to fraction form
    48,028.25/77,168.25 = 77,168.25/x
  3. Step 3: Cross multiply
    48,028.25x = 77,168.25 × 77,168.25
  4. Step 4: Simplify right side
    48,028.25x = 5,954,938,808.06
  5. Step 5: Solve for x
    x = 5,954,938,808.06/48,028.25
  6. Step 6: Final answer
    x = 123,988.25

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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.