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Finding the Third Proportional to 114,269 and 175,292

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Solution

The third proportional to 114,269 and 175,292 is: 268,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,269 : 175,292 = 175,292 : x
  2. Step 2: Convert to fraction form
    114,269/175,292 = 175,292/x
  3. Step 3: Cross multiply
    114,269x = 175,292 × 175,292
  4. Step 4: Simplify right side
    114,269x = 30,727,285,264
  5. Step 5: Solve for x
    x = 30,727,285,264/114,269
  6. Step 6: Final answer
    x = 268,903.07

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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.