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Finding the Third Proportional to 113,470.88 and 164,885.63

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Solution

The third proportional to 113,470.88 and 164,885.63 is: 239,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,470.88 : 164,885.63 = 164,885.63 : x
  2. Step 2: Convert to fraction form
    113,470.88/164,885.63 = 164,885.63/x
  3. Step 3: Cross multiply
    113,470.88x = 164,885.63 × 164,885.63
  4. Step 4: Simplify right side
    113,470.88x = 27,187,269,331.64
  5. Step 5: Solve for x
    x = 27,187,269,331.64/113,470.88
  6. Step 6: Final answer
    x = 239,596.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.