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Finding the Third Proportional to 104,802 and 148,150.50

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Solution

The third proportional to 104,802 and 148,150.50 is: 209,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,802 : 148,150.50 = 148,150.50 : x
  2. Step 2: Convert to fraction form
    104,802/148,150.50 = 148,150.50/x
  3. Step 3: Cross multiply
    104,802x = 148,150.50 × 148,150.50
  4. Step 4: Simplify right side
    104,802x = 21,948,570,650.25
  5. Step 5: Solve for x
    x = 21,948,570,650.25/104,802
  6. Step 6: Final answer
    x = 209,428.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.