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Finding the Third Proportional to 59,673 and 83,650.50

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Solution

The third proportional to 59,673 and 83,650.50 is: 117,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,673 : 83,650.50 = 83,650.50 : x
  2. Step 2: Convert to fraction form
    59,673/83,650.50 = 83,650.50/x
  3. Step 3: Cross multiply
    59,673x = 83,650.50 × 83,650.50
  4. Step 4: Simplify right side
    59,673x = 6,997,406,150.25
  5. Step 5: Solve for x
    x = 6,997,406,150.25/59,673
  6. Step 6: Final answer
    x = 117,262.52

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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.