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Finding the Third Proportional to 52,257 and 114,330

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Solution

The third proportional to 52,257 and 114,330 is: 250,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257 : 114,330 = 114,330 : x
  2. Step 2: Convert to fraction form
    52,257/114,330 = 114,330/x
  3. Step 3: Cross multiply
    52,257x = 114,330 × 114,330
  4. Step 4: Simplify right side
    52,257x = 13,071,348,900
  5. Step 5: Solve for x
    x = 13,071,348,900/52,257
  6. Step 6: Final answer
    x = 250,135.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.