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Finding the Third Proportional to 114,606 and 175,202

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Solution

The third proportional to 114,606 and 175,202 is: 267,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,606 : 175,202 = 175,202 : x
  2. Step 2: Convert to fraction form
    114,606/175,202 = 175,202/x
  3. Step 3: Cross multiply
    114,606x = 175,202 × 175,202
  4. Step 4: Simplify right side
    114,606x = 30,695,740,804
  5. Step 5: Solve for x
    x = 30,695,740,804/114,606
  6. Step 6: Final answer
    x = 267,837.12

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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.