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Finding the Third Proportional to 64,894.50 and 139,131

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Solution

The third proportional to 64,894.50 and 139,131 is: 298,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,894.50 : 139,131 = 139,131 : x
  2. Step 2: Convert to fraction form
    64,894.50/139,131 = 139,131/x
  3. Step 3: Cross multiply
    64,894.50x = 139,131 × 139,131
  4. Step 4: Simplify right side
    64,894.50x = 19,357,435,161
  5. Step 5: Solve for x
    x = 19,357,435,161/64,894.50
  6. Step 6: Final answer
    x = 298,290.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.