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Finding the Third Proportional to 114,478 and 175,119

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Solution

The third proportional to 114,478 and 175,119 is: 267,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,478 : 175,119 = 175,119 : x
  2. Step 2: Convert to fraction form
    114,478/175,119 = 175,119/x
  3. Step 3: Cross multiply
    114,478x = 175,119 × 175,119
  4. Step 4: Simplify right side
    114,478x = 30,666,664,161
  5. Step 5: Solve for x
    x = 30,666,664,161/114,478
  6. Step 6: Final answer
    x = 267,882.60

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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.