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Finding the Third Proportional to 110,437 and 175,145

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Solution

The third proportional to 110,437 and 175,145 is: 277,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,437 : 175,145 = 175,145 : x
  2. Step 2: Convert to fraction form
    110,437/175,145 = 175,145/x
  3. Step 3: Cross multiply
    110,437x = 175,145 × 175,145
  4. Step 4: Simplify right side
    110,437x = 30,675,771,025
  5. Step 5: Solve for x
    x = 30,675,771,025/110,437
  6. Step 6: Final answer
    x = 277,767.15

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