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Finding the Third Proportional to 108,524 and 235,091

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Solution

The third proportional to 108,524 and 235,091 is: 509,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,524 : 235,091 = 235,091 : x
  2. Step 2: Convert to fraction form
    108,524/235,091 = 235,091/x
  3. Step 3: Cross multiply
    108,524x = 235,091 × 235,091
  4. Step 4: Simplify right side
    108,524x = 55,267,778,281
  5. Step 5: Solve for x
    x = 55,267,778,281/108,524
  6. Step 6: Final answer
    x = 509,267.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.