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Finding the Third Proportional to 122,908 and 175,506

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Solution

The third proportional to 122,908 and 175,506 is: 250,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,908 : 175,506 = 175,506 : x
  2. Step 2: Convert to fraction form
    122,908/175,506 = 175,506/x
  3. Step 3: Cross multiply
    122,908x = 175,506 × 175,506
  4. Step 4: Simplify right side
    122,908x = 30,802,356,036
  5. Step 5: Solve for x
    x = 30,802,356,036/122,908
  6. Step 6: Final answer
    x = 250,613.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.