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Finding the Third Proportional to 66,089.25 and 106,389.75

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Solution

The third proportional to 66,089.25 and 106,389.75 is: 171,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,089.25 : 106,389.75 = 106,389.75 : x
  2. Step 2: Convert to fraction form
    66,089.25/106,389.75 = 106,389.75/x
  3. Step 3: Cross multiply
    66,089.25x = 106,389.75 × 106,389.75
  4. Step 4: Simplify right side
    66,089.25x = 11,318,778,905.06
  5. Step 5: Solve for x
    x = 11,318,778,905.06/66,089.25
  6. Step 6: Final answer
    x = 171,265.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.