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Finding the Third Proportional to 54,060.75 and 86,087.63

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Solution

The third proportional to 54,060.75 and 86,087.63 is: 137,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,060.75 : 86,087.63 = 86,087.63 : x
  2. Step 2: Convert to fraction form
    54,060.75/86,087.63 = 86,087.63/x
  3. Step 3: Cross multiply
    54,060.75x = 86,087.63 × 86,087.63
  4. Step 4: Simplify right side
    54,060.75x = 7,411,079,178.14
  5. Step 5: Solve for x
    x = 7,411,079,178.14/54,060.75
  6. Step 6: Final answer
    x = 137,087.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.