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Finding the Third Proportional to 113,666 and 239,118

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Solution

The third proportional to 113,666 and 239,118 is: 503,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,666 : 239,118 = 239,118 : x
  2. Step 2: Convert to fraction form
    113,666/239,118 = 239,118/x
  3. Step 3: Cross multiply
    113,666x = 239,118 × 239,118
  4. Step 4: Simplify right side
    113,666x = 57,177,417,924
  5. Step 5: Solve for x
    x = 57,177,417,924/113,666
  6. Step 6: Final answer
    x = 503,030.09

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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.