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Finding the Third Proportional to 94,437.75 and 142,566

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Solution

The third proportional to 94,437.75 and 142,566 is: 215,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,437.75 : 142,566 = 142,566 : x
  2. Step 2: Convert to fraction form
    94,437.75/142,566 = 142,566/x
  3. Step 3: Cross multiply
    94,437.75x = 142,566 × 142,566
  4. Step 4: Simplify right side
    94,437.75x = 20,325,064,356
  5. Step 5: Solve for x
    x = 20,325,064,356/94,437.75
  6. Step 6: Final answer
    x = 215,221.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.