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Finding the Third Proportional to 48,532 and 75,390

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Solution

The third proportional to 48,532 and 75,390 is: 117,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532 : 75,390 = 75,390 : x
  2. Step 2: Convert to fraction form
    48,532/75,390 = 75,390/x
  3. Step 3: Cross multiply
    48,532x = 75,390 × 75,390
  4. Step 4: Simplify right side
    48,532x = 5,683,652,100
  5. Step 5: Solve for x
    x = 5,683,652,100/48,532
  6. Step 6: Final answer
    x = 117,111.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.