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Finding the Third Proportional to 80,032.50 and 171,729

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Solution

The third proportional to 80,032.50 and 171,729 is: 368,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032.50 : 171,729 = 171,729 : x
  2. Step 2: Convert to fraction form
    80,032.50/171,729 = 171,729/x
  3. Step 3: Cross multiply
    80,032.50x = 171,729 × 171,729
  4. Step 4: Simplify right side
    80,032.50x = 29,490,849,441
  5. Step 5: Solve for x
    x = 29,490,849,441/80,032.50
  6. Step 6: Final answer
    x = 368,485.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.