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Finding the Third Proportional to 107,929 and 235,510

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Solution

The third proportional to 107,929 and 235,510 is: 513,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,929 : 235,510 = 235,510 : x
  2. Step 2: Convert to fraction form
    107,929/235,510 = 235,510/x
  3. Step 3: Cross multiply
    107,929x = 235,510 × 235,510
  4. Step 4: Simplify right side
    107,929x = 55,464,960,100
  5. Step 5: Solve for x
    x = 55,464,960,100/107,929
  6. Step 6: Final answer
    x = 513,902.29

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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.