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Finding the Third Proportional to 114,892 and 252,461

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Solution

The third proportional to 114,892 and 252,461 is: 554,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,892 : 252,461 = 252,461 : x
  2. Step 2: Convert to fraction form
    114,892/252,461 = 252,461/x
  3. Step 3: Cross multiply
    114,892x = 252,461 × 252,461
  4. Step 4: Simplify right side
    114,892x = 63,736,556,521
  5. Step 5: Solve for x
    x = 63,736,556,521/114,892
  6. Step 6: Final answer
    x = 554,751.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.