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Finding the Third Proportional to 52,299 and 83,110.50

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Solution

The third proportional to 52,299 and 83,110.50 is: 132,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299 : 83,110.50 = 83,110.50 : x
  2. Step 2: Convert to fraction form
    52,299/83,110.50 = 83,110.50/x
  3. Step 3: Cross multiply
    52,299x = 83,110.50 × 83,110.50
  4. Step 4: Simplify right side
    52,299x = 6,907,355,210.25
  5. Step 5: Solve for x
    x = 6,907,355,210.25/52,299
  6. Step 6: Final answer
    x = 132,074.33

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Why These Related Problems?

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