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Finding the Third Proportional to 42,084.50 and 90,080

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Solution

The third proportional to 42,084.50 and 90,080 is: 192,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084.50 : 90,080 = 90,080 : x
  2. Step 2: Convert to fraction form
    42,084.50/90,080 = 90,080/x
  3. Step 3: Cross multiply
    42,084.50x = 90,080 × 90,080
  4. Step 4: Simplify right side
    42,084.50x = 8,114,406,400
  5. Step 5: Solve for x
    x = 8,114,406,400/42,084.50
  6. Step 6: Final answer
    x = 192,812.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.