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Finding the Third Proportional to 107,042 and 235,271

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Solution

The third proportional to 107,042 and 235,271 is: 517,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,042 : 235,271 = 235,271 : x
  2. Step 2: Convert to fraction form
    107,042/235,271 = 235,271/x
  3. Step 3: Cross multiply
    107,042x = 235,271 × 235,271
  4. Step 4: Simplify right side
    107,042x = 55,352,443,441
  5. Step 5: Solve for x
    x = 55,352,443,441/107,042
  6. Step 6: Final answer
    x = 517,109.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.