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Finding the Third Proportional to 48,328 and 75,160

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Solution

The third proportional to 48,328 and 75,160 is: 116,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,328 : 75,160 = 75,160 : x
  2. Step 2: Convert to fraction form
    48,328/75,160 = 75,160/x
  3. Step 3: Cross multiply
    48,328x = 75,160 × 75,160
  4. Step 4: Simplify right side
    48,328x = 5,649,025,600
  5. Step 5: Solve for x
    x = 5,649,025,600/48,328
  6. Step 6: Final answer
    x = 116,889.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.