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Finding the Third Proportional to 100,692 and 235,170

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Solution

The third proportional to 100,692 and 235,170 is: 549,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692 : 235,170 = 235,170 : x
  2. Step 2: Convert to fraction form
    100,692/235,170 = 235,170/x
  3. Step 3: Cross multiply
    100,692x = 235,170 × 235,170
  4. Step 4: Simplify right side
    100,692x = 55,304,928,900
  5. Step 5: Solve for x
    x = 55,304,928,900/100,692
  6. Step 6: Final answer
    x = 549,248.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.