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Finding the Third Proportional to 107,718 and 235,020

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Solution

The third proportional to 107,718 and 235,020 is: 512,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,718 : 235,020 = 235,020 : x
  2. Step 2: Convert to fraction form
    107,718/235,020 = 235,020/x
  3. Step 3: Cross multiply
    107,718x = 235,020 × 235,020
  4. Step 4: Simplify right side
    107,718x = 55,234,400,400
  5. Step 5: Solve for x
    x = 55,234,400,400/107,718
  6. Step 6: Final answer
    x = 512,768.53

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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.