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Finding the Third Proportional to 52,524 and 83,533.50

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Solution

The third proportional to 52,524 and 83,533.50 is: 132,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524 : 83,533.50 = 83,533.50 : x
  2. Step 2: Convert to fraction form
    52,524/83,533.50 = 83,533.50/x
  3. Step 3: Cross multiply
    52,524x = 83,533.50 × 83,533.50
  4. Step 4: Simplify right side
    52,524x = 6,977,845,622.25
  5. Step 5: Solve for x
    x = 6,977,845,622.25/52,524
  6. Step 6: Final answer
    x = 132,850.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.