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Finding the Third Proportional to 66,101 and 94,729

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Solution

The third proportional to 66,101 and 94,729 is: 135,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,101 : 94,729 = 94,729 : x
  2. Step 2: Convert to fraction form
    66,101/94,729 = 94,729/x
  3. Step 3: Cross multiply
    66,101x = 94,729 × 94,729
  4. Step 4: Simplify right side
    66,101x = 8,973,583,441
  5. Step 5: Solve for x
    x = 8,973,583,441/66,101
  6. Step 6: Final answer
    x = 135,755.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.