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Finding the Third Proportional to 66,855 and 94,066.50

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Solution

The third proportional to 66,855 and 94,066.50 is: 132,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,855 : 94,066.50 = 94,066.50 : x
  2. Step 2: Convert to fraction form
    66,855/94,066.50 = 94,066.50/x
  3. Step 3: Cross multiply
    66,855x = 94,066.50 × 94,066.50
  4. Step 4: Simplify right side
    66,855x = 8,848,506,422.25
  5. Step 5: Solve for x
    x = 8,848,506,422.25/66,855
  6. Step 6: Final answer
    x = 132,353.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.