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Finding the Third Proportional to 91,011 and 142,458.75

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Solution

The third proportional to 91,011 and 142,458.75 is: 222,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,011 : 142,458.75 = 142,458.75 : x
  2. Step 2: Convert to fraction form
    91,011/142,458.75 = 142,458.75/x
  3. Step 3: Cross multiply
    91,011x = 142,458.75 × 142,458.75
  4. Step 4: Simplify right side
    91,011x = 20,294,495,451.56
  5. Step 5: Solve for x
    x = 20,294,495,451.56/91,011
  6. Step 6: Final answer
    x = 222,989.48

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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.