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Finding the Third Proportional to 91,029.75 and 142,499.25

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Solution

The third proportional to 91,029.75 and 142,499.25 is: 223,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,029.75 : 142,499.25 = 142,499.25 : x
  2. Step 2: Convert to fraction form
    91,029.75/142,499.25 = 142,499.25/x
  3. Step 3: Cross multiply
    91,029.75x = 142,499.25 × 142,499.25
  4. Step 4: Simplify right side
    91,029.75x = 20,306,036,250.56
  5. Step 5: Solve for x
    x = 20,306,036,250.56/91,029.75
  6. Step 6: Final answer
    x = 223,070.33

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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.