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Finding the Third Proportional to 66,090 and 94,713

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Solution

The third proportional to 66,090 and 94,713 is: 135,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,090 : 94,713 = 94,713 : x
  2. Step 2: Convert to fraction form
    66,090/94,713 = 94,713/x
  3. Step 3: Cross multiply
    66,090x = 94,713 × 94,713
  4. Step 4: Simplify right side
    66,090x = 8,970,552,369
  5. Step 5: Solve for x
    x = 8,970,552,369/66,090
  6. Step 6: Final answer
    x = 135,732.37

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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.