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Finding the Third Proportional to 110,152 and 175,070

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Solution

The third proportional to 110,152 and 175,070 is: 278,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,152 : 175,070 = 175,070 : x
  2. Step 2: Convert to fraction form
    110,152/175,070 = 175,070/x
  3. Step 3: Cross multiply
    110,152x = 175,070 × 175,070
  4. Step 4: Simplify right side
    110,152x = 30,649,504,900
  5. Step 5: Solve for x
    x = 30,649,504,900/110,152
  6. Step 6: Final answer
    x = 278,247.38

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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.