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Finding the Third Proportional to 114,466 and 175,101

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Solution

The third proportional to 114,466 and 175,101 is: 267,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,466 : 175,101 = 175,101 : x
  2. Step 2: Convert to fraction form
    114,466/175,101 = 175,101/x
  3. Step 3: Cross multiply
    114,466x = 175,101 × 175,101
  4. Step 4: Simplify right side
    114,466x = 30,660,360,201
  5. Step 5: Solve for x
    x = 30,660,360,201/114,466
  6. Step 6: Final answer
    x = 267,855.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.