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Finding the Third Proportional to 58,965.05 and 127,266.19

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Solution

The third proportional to 58,965.05 and 127,266.19 is: 274,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,965.05 : 127,266.19 = 127,266.19 : x
  2. Step 2: Convert to fraction form
    58,965.05/127,266.19 = 127,266.19/x
  3. Step 3: Cross multiply
    58,965.05x = 127,266.19 × 127,266.19
  4. Step 4: Simplify right side
    58,965.05x = 16,196,682,480.79
  5. Step 5: Solve for x
    x = 16,196,682,480.79/58,965.05
  6. Step 6: Final answer
    x = 274,682.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.