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Finding the Third Proportional to 66,886.75 and 91,718.50

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Solution

The third proportional to 66,886.75 and 91,718.50 is: 125,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,886.75 : 91,718.50 = 91,718.50 : x
  2. Step 2: Convert to fraction form
    66,886.75/91,718.50 = 91,718.50/x
  3. Step 3: Cross multiply
    66,886.75x = 91,718.50 × 91,718.50
  4. Step 4: Simplify right side
    66,886.75x = 8,412,283,242.25
  5. Step 5: Solve for x
    x = 8,412,283,242.25/66,886.75
  6. Step 6: Final answer
    x = 125,769.05

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Why These Related Problems?

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