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Finding the Third Proportional to 56,001 and 83,866.50

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Solution

The third proportional to 56,001 and 83,866.50 is: 125,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,001 : 83,866.50 = 83,866.50 : x
  2. Step 2: Convert to fraction form
    56,001/83,866.50 = 83,866.50/x
  3. Step 3: Cross multiply
    56,001x = 83,866.50 × 83,866.50
  4. Step 4: Simplify right side
    56,001x = 7,033,589,822.25
  5. Step 5: Solve for x
    x = 7,033,589,822.25/56,001
  6. Step 6: Final answer
    x = 125,597.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.