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Finding the Third Proportional to 69,987 and 105,340.50

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Solution

The third proportional to 69,987 and 105,340.50 is: 158,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,987 : 105,340.50 = 105,340.50 : x
  2. Step 2: Convert to fraction form
    69,987/105,340.50 = 105,340.50/x
  3. Step 3: Cross multiply
    69,987x = 105,340.50 × 105,340.50
  4. Step 4: Simplify right side
    69,987x = 11,096,620,940.25
  5. Step 5: Solve for x
    x = 11,096,620,940.25/69,987
  6. Step 6: Final answer
    x = 158,552.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.