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Finding the Third Proportional to 90,059.25 and 141,270

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Solution

The third proportional to 90,059.25 and 141,270 is: 221,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,059.25 : 141,270 = 141,270 : x
  2. Step 2: Convert to fraction form
    90,059.25/141,270 = 141,270/x
  3. Step 3: Cross multiply
    90,059.25x = 141,270 × 141,270
  4. Step 4: Simplify right side
    90,059.25x = 19,957,212,900
  5. Step 5: Solve for x
    x = 19,957,212,900/90,059.25
  6. Step 6: Final answer
    x = 221,600.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.