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Finding the Third Proportional to 42,084.75 and 70,133.25

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Solution

The third proportional to 42,084.75 and 70,133.25 is: 116,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084.75 : 70,133.25 = 70,133.25 : x
  2. Step 2: Convert to fraction form
    42,084.75/70,133.25 = 70,133.25/x
  3. Step 3: Cross multiply
    42,084.75x = 70,133.25 × 70,133.25
  4. Step 4: Simplify right side
    42,084.75x = 4,918,672,755.56
  5. Step 5: Solve for x
    x = 4,918,672,755.56/42,084.75
  6. Step 6: Final answer
    x = 116,875.42

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.