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Finding the Third Proportional to 117,545 and 179,071

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Solution

The third proportional to 117,545 and 179,071 is: 272,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,545 : 179,071 = 179,071 : x
  2. Step 2: Convert to fraction form
    117,545/179,071 = 179,071/x
  3. Step 3: Cross multiply
    117,545x = 179,071 × 179,071
  4. Step 4: Simplify right side
    117,545x = 32,066,423,041
  5. Step 5: Solve for x
    x = 32,066,423,041/117,545
  6. Step 6: Final answer
    x = 272,801.25

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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.