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Finding the Third Proportional to 117,017 and 179,748

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Solution

The third proportional to 117,017 and 179,748 is: 276,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,017 : 179,748 = 179,748 : x
  2. Step 2: Convert to fraction form
    117,017/179,748 = 179,748/x
  3. Step 3: Cross multiply
    117,017x = 179,748 × 179,748
  4. Step 4: Simplify right side
    117,017x = 32,309,343,504
  5. Step 5: Solve for x
    x = 32,309,343,504/117,017
  6. Step 6: Final answer
    x = 276,108.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.