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Finding the Third Proportional to 77,662.13 and 187,044.19

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Solution

The third proportional to 77,662.13 and 187,044.19 is: 450,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662.13 : 187,044.19 = 187,044.19 : x
  2. Step 2: Convert to fraction form
    77,662.13/187,044.19 = 187,044.19/x
  3. Step 3: Cross multiply
    77,662.13x = 187,044.19 × 187,044.19
  4. Step 4: Simplify right side
    77,662.13x = 34,985,528,077.54
  5. Step 5: Solve for x
    x = 34,985,528,077.54/77,662.13
  6. Step 6: Final answer
    x = 450,483.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.