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Finding the Third Proportional to 59,277.19 and 105,396.94

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Solution

The third proportional to 59,277.19 and 105,396.94 is: 187,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,277.19 : 105,396.94 = 105,396.94 : x
  2. Step 2: Convert to fraction form
    59,277.19/105,396.94 = 105,396.94/x
  3. Step 3: Cross multiply
    59,277.19x = 105,396.94 × 105,396.94
  4. Step 4: Simplify right side
    59,277.19x = 11,108,514,434.38
  5. Step 5: Solve for x
    x = 11,108,514,434.38/59,277.19
  6. Step 6: Final answer
    x = 187,399.49

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.