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Finding the Third Proportional to 56,901 and 81,961.50

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Solution

The third proportional to 56,901 and 81,961.50 is: 118,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,901 : 81,961.50 = 81,961.50 : x
  2. Step 2: Convert to fraction form
    56,901/81,961.50 = 81,961.50/x
  3. Step 3: Cross multiply
    56,901x = 81,961.50 × 81,961.50
  4. Step 4: Simplify right side
    56,901x = 6,717,687,482.25
  5. Step 5: Solve for x
    x = 6,717,687,482.25/56,901
  6. Step 6: Final answer
    x = 118,059.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.