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Finding the Third Proportional to 73,148 and 109,242

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Solution

The third proportional to 73,148 and 109,242 is: 163,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,148 : 109,242 = 109,242 : x
  2. Step 2: Convert to fraction form
    73,148/109,242 = 109,242/x
  3. Step 3: Cross multiply
    73,148x = 109,242 × 109,242
  4. Step 4: Simplify right side
    73,148x = 11,933,814,564
  5. Step 5: Solve for x
    x = 11,933,814,564/73,148
  6. Step 6: Final answer
    x = 163,146.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.