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Finding the Third Proportional to 66,908.25 and 91,746.50

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Solution

The third proportional to 66,908.25 and 91,746.50 is: 125,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,908.25 : 91,746.50 = 91,746.50 : x
  2. Step 2: Convert to fraction form
    66,908.25/91,746.50 = 91,746.50/x
  3. Step 3: Cross multiply
    66,908.25x = 91,746.50 × 91,746.50
  4. Step 4: Simplify right side
    66,908.25x = 8,417,420,262.25
  5. Step 5: Solve for x
    x = 8,417,420,262.25/66,908.25
  6. Step 6: Final answer
    x = 125,805.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.