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Finding the Third Proportional to 66,588.75 and 105,958.13

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Solution

The third proportional to 66,588.75 and 105,958.13 is: 168,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,588.75 : 105,958.13 = 105,958.13 : x
  2. Step 2: Convert to fraction form
    66,588.75/105,958.13 = 105,958.13/x
  3. Step 3: Cross multiply
    66,588.75x = 105,958.13 × 105,958.13
  4. Step 4: Simplify right side
    66,588.75x = 11,227,124,253.52
  5. Step 5: Solve for x
    x = 11,227,124,253.52/66,588.75
  6. Step 6: Final answer
    x = 168,603.92

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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.