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Finding the Third Proportional to 93,700.69 and 149,023.97

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Solution

The third proportional to 93,700.69 and 149,023.97 is: 237,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,700.69 : 149,023.97 = 149,023.97 : x
  2. Step 2: Convert to fraction form
    93,700.69/149,023.97 = 149,023.97/x
  3. Step 3: Cross multiply
    93,700.69x = 149,023.97 × 149,023.97
  4. Step 4: Simplify right side
    93,700.69x = 22,208,143,262.00
  5. Step 5: Solve for x
    x = 22,208,143,262.00/93,700.69
  6. Step 6: Final answer
    x = 237,011.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.