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Finding the Third Proportional to 40,541.25 and 88,719

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Solution

The third proportional to 40,541.25 and 88,719 is: 194,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,541.25 : 88,719 = 88,719 : x
  2. Step 2: Convert to fraction form
    40,541.25/88,719 = 88,719/x
  3. Step 3: Cross multiply
    40,541.25x = 88,719 × 88,719
  4. Step 4: Simplify right side
    40,541.25x = 7,871,060,961
  5. Step 5: Solve for x
    x = 7,871,060,961/40,541.25
  6. Step 6: Final answer
    x = 194,149.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.