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Finding the Third Proportional to 44,328 and 68,132.25

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Solution

The third proportional to 44,328 and 68,132.25 is: 104,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,328 : 68,132.25 = 68,132.25 : x
  2. Step 2: Convert to fraction form
    44,328/68,132.25 = 68,132.25/x
  3. Step 3: Cross multiply
    44,328x = 68,132.25 × 68,132.25
  4. Step 4: Simplify right side
    44,328x = 4,642,003,490.06
  5. Step 5: Solve for x
    x = 4,642,003,490.06/44,328
  6. Step 6: Final answer
    x = 104,719.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.