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Finding the Third Proportional to 77,127.19 and 119,186.44

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Solution

The third proportional to 77,127.19 and 119,186.44 is: 184,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,127.19 : 119,186.44 = 119,186.44 : x
  2. Step 2: Convert to fraction form
    77,127.19/119,186.44 = 119,186.44/x
  3. Step 3: Cross multiply
    77,127.19x = 119,186.44 × 119,186.44
  4. Step 4: Simplify right side
    77,127.19x = 14,205,406,883.94
  5. Step 5: Solve for x
    x = 14,205,406,883.94/77,127.19
  6. Step 6: Final answer
    x = 184,181.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.