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Finding the Third Proportional to 64,955.25 and 138,111.75

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Solution

The third proportional to 64,955.25 and 138,111.75 is: 293,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,955.25 : 138,111.75 = 138,111.75 : x
  2. Step 2: Convert to fraction form
    64,955.25/138,111.75 = 138,111.75/x
  3. Step 3: Cross multiply
    64,955.25x = 138,111.75 × 138,111.75
  4. Step 4: Simplify right side
    64,955.25x = 19,074,855,488.06
  5. Step 5: Solve for x
    x = 19,074,855,488.06/64,955.25
  6. Step 6: Final answer
    x = 293,661.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.