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Finding the Third Proportional to 103,149 and 139,171.50

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Solution

The third proportional to 103,149 and 139,171.50 is: 187,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,149 : 139,171.50 = 139,171.50 : x
  2. Step 2: Convert to fraction form
    103,149/139,171.50 = 139,171.50/x
  3. Step 3: Cross multiply
    103,149x = 139,171.50 × 139,171.50
  4. Step 4: Simplify right side
    103,149x = 19,368,706,412.25
  5. Step 5: Solve for x
    x = 19,368,706,412.25/103,149
  6. Step 6: Final answer
    x = 187,774.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.