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Finding the Third Proportional to 108,498.75 and 165,874.50

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Solution

The third proportional to 108,498.75 and 165,874.50 is: 253,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,498.75 : 165,874.50 = 165,874.50 : x
  2. Step 2: Convert to fraction form
    108,498.75/165,874.50 = 165,874.50/x
  3. Step 3: Cross multiply
    108,498.75x = 165,874.50 × 165,874.50
  4. Step 4: Simplify right side
    108,498.75x = 27,514,349,750.25
  5. Step 5: Solve for x
    x = 27,514,349,750.25/108,498.75
  6. Step 6: Final answer
    x = 253,591.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.