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Finding the Third Proportional to 115,272 and 175,276

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Solution

The third proportional to 115,272 and 175,276 is: 266,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,272 : 175,276 = 175,276 : x
  2. Step 2: Convert to fraction form
    115,272/175,276 = 175,276/x
  3. Step 3: Cross multiply
    115,272x = 175,276 × 175,276
  4. Step 4: Simplify right side
    115,272x = 30,721,676,176
  5. Step 5: Solve for x
    x = 30,721,676,176/115,272
  6. Step 6: Final answer
    x = 266,514.65

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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.