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Finding the Third Proportional to 77,175.56 and 169,108.88

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Solution

The third proportional to 77,175.56 and 169,108.88 is: 370,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175.56 : 169,108.88 = 169,108.88 : x
  2. Step 2: Convert to fraction form
    77,175.56/169,108.88 = 169,108.88/x
  3. Step 3: Cross multiply
    77,175.56x = 169,108.88 × 169,108.88
  4. Step 4: Simplify right side
    77,175.56x = 28,597,811,603.77
  5. Step 5: Solve for x
    x = 28,597,811,603.77/77,175.56
  6. Step 6: Final answer
    x = 370,555.27

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Why These Related Problems?

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