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Finding the Third Proportional to 110,437 and 175,154

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Solution

The third proportional to 110,437 and 175,154 is: 277,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,437 : 175,154 = 175,154 : x
  2. Step 2: Convert to fraction form
    110,437/175,154 = 175,154/x
  3. Step 3: Cross multiply
    110,437x = 175,154 × 175,154
  4. Step 4: Simplify right side
    110,437x = 30,678,923,716
  5. Step 5: Solve for x
    x = 30,678,923,716/110,437
  6. Step 6: Final answer
    x = 277,795.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.