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Finding the Third Proportional to 65,222.72 and 134,637.19

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Solution

The third proportional to 65,222.72 and 134,637.19 is: 277,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.72 : 134,637.19 = 134,637.19 : x
  2. Step 2: Convert to fraction form
    65,222.72/134,637.19 = 134,637.19/x
  3. Step 3: Cross multiply
    65,222.72x = 134,637.19 × 134,637.19
  4. Step 4: Simplify right side
    65,222.72x = 18,127,172,257.91
  5. Step 5: Solve for x
    x = 18,127,172,257.91/65,222.72
  6. Step 6: Final answer
    x = 277,927.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.