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Finding the Third Proportional to 72,801.84 and 149,132.25

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Solution

The third proportional to 72,801.84 and 149,132.25 is: 305,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,801.84 : 149,132.25 = 149,132.25 : x
  2. Step 2: Convert to fraction form
    72,801.84/149,132.25 = 149,132.25/x
  3. Step 3: Cross multiply
    72,801.84x = 149,132.25 × 149,132.25
  4. Step 4: Simplify right side
    72,801.84x = 22,240,427,990.06
  5. Step 5: Solve for x
    x = 22,240,427,990.06/72,801.84
  6. Step 6: Final answer
    x = 305,492.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.