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Finding the Third Proportional to 103,472.44 and 139,051.69

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Solution

The third proportional to 103,472.44 and 139,051.69 is: 186,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,472.44 : 139,051.69 = 139,051.69 : x
  2. Step 2: Convert to fraction form
    103,472.44/139,051.69 = 139,051.69/x
  3. Step 3: Cross multiply
    103,472.44x = 139,051.69 × 139,051.69
  4. Step 4: Simplify right side
    103,472.44x = 19,335,371,796.60
  5. Step 5: Solve for x
    x = 19,335,371,796.60/103,472.44
  6. Step 6: Final answer
    x = 186,864.95

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.