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Finding the Third Proportional to 118,210 and 179,498

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Solution

The third proportional to 118,210 and 179,498 is: 272,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,210 : 179,498 = 179,498 : x
  2. Step 2: Convert to fraction form
    118,210/179,498 = 179,498/x
  3. Step 3: Cross multiply
    118,210x = 179,498 × 179,498
  4. Step 4: Simplify right side
    118,210x = 32,219,532,004
  5. Step 5: Solve for x
    x = 32,219,532,004/118,210
  6. Step 6: Final answer
    x = 272,561.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.