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Finding the Third Proportional to 69,063 and 106,648.50

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Solution

The third proportional to 69,063 and 106,648.50 is: 164,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,063 : 106,648.50 = 106,648.50 : x
  2. Step 2: Convert to fraction form
    69,063/106,648.50 = 106,648.50/x
  3. Step 3: Cross multiply
    69,063x = 106,648.50 × 106,648.50
  4. Step 4: Simplify right side
    69,063x = 11,373,902,552.25
  5. Step 5: Solve for x
    x = 11,373,902,552.25/69,063
  6. Step 6: Final answer
    x = 164,688.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.