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Finding the Third Proportional to 110,396.25 and 175,095

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Solution

The third proportional to 110,396.25 and 175,095 is: 277,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,396.25 : 175,095 = 175,095 : x
  2. Step 2: Convert to fraction form
    110,396.25/175,095 = 175,095/x
  3. Step 3: Cross multiply
    110,396.25x = 175,095 × 175,095
  4. Step 4: Simplify right side
    110,396.25x = 30,658,259,025
  5. Step 5: Solve for x
    x = 30,658,259,025/110,396.25
  6. Step 6: Final answer
    x = 277,711.05

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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.