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Finding the Third Proportional to 73,811.25 and 156,848.91

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Solution

The third proportional to 73,811.25 and 156,848.91 is: 333,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,811.25 : 156,848.91 = 156,848.91 : x
  2. Step 2: Convert to fraction form
    73,811.25/156,848.91 = 156,848.91/x
  3. Step 3: Cross multiply
    73,811.25x = 156,848.91 × 156,848.91
  4. Step 4: Simplify right side
    73,811.25x = 24,601,579,391.82
  5. Step 5: Solve for x
    x = 24,601,579,391.82/73,811.25
  6. Step 6: Final answer
    x = 333,303.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.