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Finding the Third Proportional to 107,127 and 233,309.25

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Solution

The third proportional to 107,127 and 233,309.25 is: 508,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,127 : 233,309.25 = 233,309.25 : x
  2. Step 2: Convert to fraction form
    107,127/233,309.25 = 233,309.25/x
  3. Step 3: Cross multiply
    107,127x = 233,309.25 × 233,309.25
  4. Step 4: Simplify right side
    107,127x = 54,433,206,135.56
  5. Step 5: Solve for x
    x = 54,433,206,135.56/107,127
  6. Step 6: Final answer
    x = 508,118.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.