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Finding the Third Proportional to 95,671 and 133,753.50

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Solution

The third proportional to 95,671 and 133,753.50 is: 186,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,671 : 133,753.50 = 133,753.50 : x
  2. Step 2: Convert to fraction form
    95,671/133,753.50 = 133,753.50/x
  3. Step 3: Cross multiply
    95,671x = 133,753.50 × 133,753.50
  4. Step 4: Simplify right side
    95,671x = 17,889,998,762.25
  5. Step 5: Solve for x
    x = 17,889,998,762.25/95,671
  6. Step 6: Final answer
    x = 186,995.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.