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Finding the Third Proportional to 113,652 and 239,088

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Solution

The third proportional to 113,652 and 239,088 is: 502,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,652 : 239,088 = 239,088 : x
  2. Step 2: Convert to fraction form
    113,652/239,088 = 239,088/x
  3. Step 3: Cross multiply
    113,652x = 239,088 × 239,088
  4. Step 4: Simplify right side
    113,652x = 57,163,071,744
  5. Step 5: Solve for x
    x = 57,163,071,744/113,652
  6. Step 6: Final answer
    x = 502,965.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.