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Finding the Third Proportional to 48,442 and 104,534

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Solution

The third proportional to 48,442 and 104,534 is: 225,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,442 : 104,534 = 104,534 : x
  2. Step 2: Convert to fraction form
    48,442/104,534 = 104,534/x
  3. Step 3: Cross multiply
    48,442x = 104,534 × 104,534
  4. Step 4: Simplify right side
    48,442x = 10,927,357,156
  5. Step 5: Solve for x
    x = 10,927,357,156/48,442
  6. Step 6: Final answer
    x = 225,576.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.