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Finding the Third Proportional to 64,707.38 and 138,410.63

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Solution

The third proportional to 64,707.38 and 138,410.63 is: 296,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,707.38 : 138,410.63 = 138,410.63 : x
  2. Step 2: Convert to fraction form
    64,707.38/138,410.63 = 138,410.63/x
  3. Step 3: Cross multiply
    64,707.38x = 138,410.63 × 138,410.63
  4. Step 4: Simplify right side
    64,707.38x = 19,157,501,112.89
  5. Step 5: Solve for x
    x = 19,157,501,112.89/64,707.38
  6. Step 6: Final answer
    x = 296,063.64

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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.