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Finding the Third Proportional to 64,172.25 and 139,279.50

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Solution

The third proportional to 64,172.25 and 139,279.50 is: 302,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,172.25 : 139,279.50 = 139,279.50 : x
  2. Step 2: Convert to fraction form
    64,172.25/139,279.50 = 139,279.50/x
  3. Step 3: Cross multiply
    64,172.25x = 139,279.50 × 139,279.50
  4. Step 4: Simplify right side
    64,172.25x = 19,398,779,120.25
  5. Step 5: Solve for x
    x = 19,398,779,120.25/64,172.25
  6. Step 6: Final answer
    x = 302,292.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.