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Finding the Third Proportional to 91,114.88 and 142,610.63

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Solution

The third proportional to 91,114.88 and 142,610.63 is: 223,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,114.88 : 142,610.63 = 142,610.63 : x
  2. Step 2: Convert to fraction form
    91,114.88/142,610.63 = 142,610.63/x
  3. Step 3: Cross multiply
    91,114.88x = 142,610.63 × 142,610.63
  4. Step 4: Simplify right side
    91,114.88x = 20,337,790,362.89
  5. Step 5: Solve for x
    x = 20,337,790,362.89/91,114.88
  6. Step 6: Final answer
    x = 223,210.43

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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.