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Finding the Third Proportional to 110,397.75 and 175,094.81

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Solution

The third proportional to 110,397.75 and 175,094.81 is: 277,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,397.75 : 175,094.81 = 175,094.81 : x
  2. Step 2: Convert to fraction form
    110,397.75/175,094.81 = 175,094.81/x
  3. Step 3: Cross multiply
    110,397.75x = 175,094.81 × 175,094.81
  4. Step 4: Simplify right side
    110,397.75x = 30,658,193,364.41
  5. Step 5: Solve for x
    x = 30,658,193,364.41/110,397.75
  6. Step 6: Final answer
    x = 277,706.69

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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.