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Finding the Third Proportional to 109,714.50 and 165,331.13

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Solution

The third proportional to 109,714.50 and 165,331.13 is: 249,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.50 : 165,331.13 = 165,331.13 : x
  2. Step 2: Convert to fraction form
    109,714.50/165,331.13 = 165,331.13/x
  3. Step 3: Cross multiply
    109,714.50x = 165,331.13 × 165,331.13
  4. Step 4: Simplify right side
    109,714.50x = 27,334,380,893.77
  5. Step 5: Solve for x
    x = 27,334,380,893.77/109,714.50
  6. Step 6: Final answer
    x = 249,141.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.