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Finding the Third Proportional to 107,632.50 and 234,939

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Solution

The third proportional to 107,632.50 and 234,939 is: 512,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,632.50 : 234,939 = 234,939 : x
  2. Step 2: Convert to fraction form
    107,632.50/234,939 = 234,939/x
  3. Step 3: Cross multiply
    107,632.50x = 234,939 × 234,939
  4. Step 4: Simplify right side
    107,632.50x = 55,196,333,721
  5. Step 5: Solve for x
    x = 55,196,333,721/107,632.50
  6. Step 6: Final answer
    x = 512,822.18

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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.