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Finding the Third Proportional to 103,821.75 and 148,464.56

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Solution

The third proportional to 103,821.75 and 148,464.56 is: 212,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,821.75 : 148,464.56 = 148,464.56 : x
  2. Step 2: Convert to fraction form
    103,821.75/148,464.56 = 148,464.56/x
  3. Step 3: Cross multiply
    103,821.75x = 148,464.56 × 148,464.56
  4. Step 4: Simplify right side
    103,821.75x = 22,041,726,318.32
  5. Step 5: Solve for x
    x = 22,041,726,318.32/103,821.75
  6. Step 6: Final answer
    x = 212,303.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.