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Finding the Third Proportional to 67,054.50 and 139,564.69

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Solution

The third proportional to 67,054.50 and 139,564.69 is: 290,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054.50 : 139,564.69 = 139,564.69 : x
  2. Step 2: Convert to fraction form
    67,054.50/139,564.69 = 139,564.69/x
  3. Step 3: Cross multiply
    67,054.50x = 139,564.69 × 139,564.69
  4. Step 4: Simplify right side
    67,054.50x = 19,478,301,996.97
  5. Step 5: Solve for x
    x = 19,478,301,996.97/67,054.50
  6. Step 6: Final answer
    x = 290,484.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.