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Finding the Third Proportional to 113,969 and 167,248

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Solution

The third proportional to 113,969 and 167,248 is: 245,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,969 : 167,248 = 167,248 : x
  2. Step 2: Convert to fraction form
    113,969/167,248 = 167,248/x
  3. Step 3: Cross multiply
    113,969x = 167,248 × 167,248
  4. Step 4: Simplify right side
    113,969x = 27,971,893,504
  5. Step 5: Solve for x
    x = 27,971,893,504/113,969
  6. Step 6: Final answer
    x = 245,434.23

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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.