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Finding the Third Proportional to 109,154 and 235,100

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Solution

The third proportional to 109,154 and 235,100 is: 506,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,154 : 235,100 = 235,100 : x
  2. Step 2: Convert to fraction form
    109,154/235,100 = 235,100/x
  3. Step 3: Cross multiply
    109,154x = 235,100 × 235,100
  4. Step 4: Simplify right side
    109,154x = 55,272,010,000
  5. Step 5: Solve for x
    x = 55,272,010,000/109,154
  6. Step 6: Final answer
    x = 506,367.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.