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Finding the Third Proportional to 64,866.76 and 139,434.06

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Solution

The third proportional to 64,866.76 and 139,434.06 is: 299,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,866.76 : 139,434.06 = 139,434.06 : x
  2. Step 2: Convert to fraction form
    64,866.76/139,434.06 = 139,434.06/x
  3. Step 3: Cross multiply
    64,866.76x = 139,434.06 × 139,434.06
  4. Step 4: Simplify right side
    64,866.76x = 19,441,858,329.92
  5. Step 5: Solve for x
    x = 19,441,858,329.92/64,866.76
  6. Step 6: Final answer
    x = 299,719.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.