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Finding the Third Proportional to 75,283.31 and 110,095.88

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Solution

The third proportional to 75,283.31 and 110,095.88 is: 161,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,283.31 : 110,095.88 = 110,095.88 : x
  2. Step 2: Convert to fraction form
    75,283.31/110,095.88 = 110,095.88/x
  3. Step 3: Cross multiply
    75,283.31x = 110,095.88 × 110,095.88
  4. Step 4: Simplify right side
    75,283.31x = 12,121,101,692.02
  5. Step 5: Solve for x
    x = 12,121,101,692.02/75,283.31
  6. Step 6: Final answer
    x = 161,006.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.