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Finding the Third Proportional to 91,176.75 and 142,300.69

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Solution

The third proportional to 91,176.75 and 142,300.69 is: 222,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,176.75 : 142,300.69 = 142,300.69 : x
  2. Step 2: Convert to fraction form
    91,176.75/142,300.69 = 142,300.69/x
  3. Step 3: Cross multiply
    91,176.75x = 142,300.69 × 142,300.69
  4. Step 4: Simplify right side
    91,176.75x = 20,249,485,662.97
  5. Step 5: Solve for x
    x = 20,249,485,662.97/91,176.75
  6. Step 6: Final answer
    x = 222,090.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.