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Finding the Third Proportional to 66,090 and 94,213.50

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Solution

The third proportional to 66,090 and 94,213.50 is: 134,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,090 : 94,213.50 = 94,213.50 : x
  2. Step 2: Convert to fraction form
    66,090/94,213.50 = 94,213.50/x
  3. Step 3: Cross multiply
    66,090x = 94,213.50 × 94,213.50
  4. Step 4: Simplify right side
    66,090x = 8,876,183,582.25
  5. Step 5: Solve for x
    x = 8,876,183,582.25/66,090
  6. Step 6: Final answer
    x = 134,304.49

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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.