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Finding the Third Proportional to 113,348 and 166,888

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Solution

The third proportional to 113,348 and 166,888 is: 245,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,348 : 166,888 = 166,888 : x
  2. Step 2: Convert to fraction form
    113,348/166,888 = 166,888/x
  3. Step 3: Cross multiply
    113,348x = 166,888 × 166,888
  4. Step 4: Simplify right side
    113,348x = 27,851,604,544
  5. Step 5: Solve for x
    x = 27,851,604,544/113,348
  6. Step 6: Final answer
    x = 245,717.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.