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Finding the Third Proportional to 72,565.88 and 154,973.25

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Solution

The third proportional to 72,565.88 and 154,973.25 is: 330,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,565.88 : 154,973.25 = 154,973.25 : x
  2. Step 2: Convert to fraction form
    72,565.88/154,973.25 = 154,973.25/x
  3. Step 3: Cross multiply
    72,565.88x = 154,973.25 × 154,973.25
  4. Step 4: Simplify right side
    72,565.88x = 24,016,708,215.56
  5. Step 5: Solve for x
    x = 24,016,708,215.56/72,565.88
  6. Step 6: Final answer
    x = 330,964.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.