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Finding the Third Proportional to 113,438 and 166,881

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Solution

The third proportional to 113,438 and 166,881 is: 245,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,438 : 166,881 = 166,881 : x
  2. Step 2: Convert to fraction form
    113,438/166,881 = 166,881/x
  3. Step 3: Cross multiply
    113,438x = 166,881 × 166,881
  4. Step 4: Simplify right side
    113,438x = 27,849,268,161
  5. Step 5: Solve for x
    x = 27,849,268,161/113,438
  6. Step 6: Final answer
    x = 245,502.11

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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.