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Finding the Third Proportional to 42,573.75 and 91,264.13

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Solution

The third proportional to 42,573.75 and 91,264.13 is: 195,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,573.75 : 91,264.13 = 91,264.13 : x
  2. Step 2: Convert to fraction form
    42,573.75/91,264.13 = 91,264.13/x
  3. Step 3: Cross multiply
    42,573.75x = 91,264.13 × 91,264.13
  4. Step 4: Simplify right side
    42,573.75x = 8,329,140,512.02
  5. Step 5: Solve for x
    x = 8,329,140,512.02/42,573.75
  6. Step 6: Final answer
    x = 195,640.28

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