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Finding the Third Proportional to 72,410.20 and 149,852.21

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Solution

The third proportional to 72,410.20 and 149,852.21 is: 310,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,410.20 : 149,852.21 = 149,852.21 : x
  2. Step 2: Convert to fraction form
    72,410.20/149,852.21 = 149,852.21/x
  3. Step 3: Cross multiply
    72,410.20x = 149,852.21 × 149,852.21
  4. Step 4: Simplify right side
    72,410.20x = 22,455,686,293.58
  5. Step 5: Solve for x
    x = 22,455,686,293.58/72,410.20
  6. Step 6: Final answer
    x = 310,117.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.