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Finding the Third Proportional to 117,549 and 179,076

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Solution

The third proportional to 117,549 and 179,076 is: 272,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,549 : 179,076 = 179,076 : x
  2. Step 2: Convert to fraction form
    117,549/179,076 = 179,076/x
  3. Step 3: Cross multiply
    117,549x = 179,076 × 179,076
  4. Step 4: Simplify right side
    117,549x = 32,068,213,776
  5. Step 5: Solve for x
    x = 32,068,213,776/117,549
  6. Step 6: Final answer
    x = 272,807.20

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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.