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Finding the Third Proportional to 69,012 and 102,910.50

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Solution

The third proportional to 69,012 and 102,910.50 is: 153,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012 : 102,910.50 = 102,910.50 : x
  2. Step 2: Convert to fraction form
    69,012/102,910.50 = 102,910.50/x
  3. Step 3: Cross multiply
    69,012x = 102,910.50 × 102,910.50
  4. Step 4: Simplify right side
    69,012x = 10,590,571,010.25
  5. Step 5: Solve for x
    x = 10,590,571,010.25/69,012
  6. Step 6: Final answer
    x = 153,459.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.