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Finding the Third Proportional to 78,519.50 and 171,707

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Solution

The third proportional to 78,519.50 and 171,707 is: 375,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,519.50 : 171,707 = 171,707 : x
  2. Step 2: Convert to fraction form
    78,519.50/171,707 = 171,707/x
  3. Step 3: Cross multiply
    78,519.50x = 171,707 × 171,707
  4. Step 4: Simplify right side
    78,519.50x = 29,483,293,849
  5. Step 5: Solve for x
    x = 29,483,293,849/78,519.50
  6. Step 6: Final answer
    x = 375,490.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.