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Finding the Third Proportional to 55,413 and 99,067.50

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Solution

The third proportional to 55,413 and 99,067.50 is: 177,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413 : 99,067.50 = 99,067.50 : x
  2. Step 2: Convert to fraction form
    55,413/99,067.50 = 99,067.50/x
  3. Step 3: Cross multiply
    55,413x = 99,067.50 × 99,067.50
  4. Step 4: Simplify right side
    55,413x = 9,814,369,556.25
  5. Step 5: Solve for x
    x = 9,814,369,556.25/55,413
  6. Step 6: Final answer
    x = 177,113.12

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.