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Finding the Third Proportional to 48,534 and 73,143

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Solution

The third proportional to 48,534 and 73,143 is: 110,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534 : 73,143 = 73,143 : x
  2. Step 2: Convert to fraction form
    48,534/73,143 = 73,143/x
  3. Step 3: Cross multiply
    48,534x = 73,143 × 73,143
  4. Step 4: Simplify right side
    48,534x = 5,349,898,449
  5. Step 5: Solve for x
    x = 5,349,898,449/48,534
  6. Step 6: Final answer
    x = 110,229.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.