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Finding the Third Proportional to 117,470 and 178,959

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Solution

The third proportional to 117,470 and 178,959 is: 272,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,470 : 178,959 = 178,959 : x
  2. Step 2: Convert to fraction form
    117,470/178,959 = 178,959/x
  3. Step 3: Cross multiply
    117,470x = 178,959 × 178,959
  4. Step 4: Simplify right side
    117,470x = 32,026,323,681
  5. Step 5: Solve for x
    x = 32,026,323,681/117,470
  6. Step 6: Final answer
    x = 272,634.07

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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.