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Finding the Third Proportional to 72,187 and 160,371

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Solution

The third proportional to 72,187 and 160,371 is: 356,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,187 : 160,371 = 160,371 : x
  2. Step 2: Convert to fraction form
    72,187/160,371 = 160,371/x
  3. Step 3: Cross multiply
    72,187x = 160,371 × 160,371
  4. Step 4: Simplify right side
    72,187x = 25,718,857,641
  5. Step 5: Solve for x
    x = 25,718,857,641/72,187
  6. Step 6: Final answer
    x = 356,281.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.