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Finding the Third Proportional to 69,311 and 104,459.50

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Solution

The third proportional to 69,311 and 104,459.50 is: 157,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,311 : 104,459.50 = 104,459.50 : x
  2. Step 2: Convert to fraction form
    69,311/104,459.50 = 104,459.50/x
  3. Step 3: Cross multiply
    69,311x = 104,459.50 × 104,459.50
  4. Step 4: Simplify right side
    69,311x = 10,911,787,140.25
  5. Step 5: Solve for x
    x = 10,911,787,140.25/69,311
  6. Step 6: Final answer
    x = 157,432.26

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