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Finding the Third Proportional to 79,285 and 118,312

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Solution

The third proportional to 79,285 and 118,312 is: 176,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,285 : 118,312 = 118,312 : x
  2. Step 2: Convert to fraction form
    79,285/118,312 = 118,312/x
  3. Step 3: Cross multiply
    79,285x = 118,312 × 118,312
  4. Step 4: Simplify right side
    79,285x = 13,997,729,344
  5. Step 5: Solve for x
    x = 13,997,729,344/79,285
  6. Step 6: Final answer
    x = 176,549.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.