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Finding the Third Proportional to 69,810 and 93,640.50

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Solution

The third proportional to 69,810 and 93,640.50 is: 125,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,810 : 93,640.50 = 93,640.50 : x
  2. Step 2: Convert to fraction form
    69,810/93,640.50 = 93,640.50/x
  3. Step 3: Cross multiply
    69,810x = 93,640.50 × 93,640.50
  4. Step 4: Simplify right side
    69,810x = 8,768,543,240.25
  5. Step 5: Solve for x
    x = 8,768,543,240.25/69,810
  6. Step 6: Final answer
    x = 125,605.83

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.