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Finding the Third Proportional to 35,057.81 and 77,127.19

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Solution

The third proportional to 35,057.81 and 77,127.19 is: 169,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,057.81 : 77,127.19 = 77,127.19 : x
  2. Step 2: Convert to fraction form
    35,057.81/77,127.19 = 77,127.19/x
  3. Step 3: Cross multiply
    35,057.81x = 77,127.19 × 77,127.19
  4. Step 4: Simplify right side
    35,057.81x = 5,948,603,051.66
  5. Step 5: Solve for x
    x = 5,948,603,051.66/35,057.81
  6. Step 6: Final answer
    x = 169,679.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.