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Finding the Third Proportional to 42,714.75 and 99,799.50

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Solution

The third proportional to 42,714.75 and 99,799.50 is: 233,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.75 : 99,799.50 = 99,799.50 : x
  2. Step 2: Convert to fraction form
    42,714.75/99,799.50 = 99,799.50/x
  3. Step 3: Cross multiply
    42,714.75x = 99,799.50 × 99,799.50
  4. Step 4: Simplify right side
    42,714.75x = 9,959,940,200.25
  5. Step 5: Solve for x
    x = 9,959,940,200.25/42,714.75
  6. Step 6: Final answer
    x = 233,173.32

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