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Finding the Third Proportional to 113,576 and 175,102

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Solution

The third proportional to 113,576 and 175,102 is: 269,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,576 : 175,102 = 175,102 : x
  2. Step 2: Convert to fraction form
    113,576/175,102 = 175,102/x
  3. Step 3: Cross multiply
    113,576x = 175,102 × 175,102
  4. Step 4: Simplify right side
    113,576x = 30,660,710,404
  5. Step 5: Solve for x
    x = 30,660,710,404/113,576
  6. Step 6: Final answer
    x = 269,957.65

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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.