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Finding the Third Proportional to 72,662.06 and 106,840.27

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Solution

The third proportional to 72,662.06 and 106,840.27 is: 157,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,662.06 : 106,840.27 = 106,840.27 : x
  2. Step 2: Convert to fraction form
    72,662.06/106,840.27 = 106,840.27/x
  3. Step 3: Cross multiply
    72,662.06x = 106,840.27 × 106,840.27
  4. Step 4: Simplify right side
    72,662.06x = 11,414,842,358.82
  5. Step 5: Solve for x
    x = 11,414,842,358.82/72,662.06
  6. Step 6: Final answer
    x = 157,094.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.