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Finding the Third Proportional to 64,596 and 137,022

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Solution

The third proportional to 64,596 and 137,022 is: 290,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,596 : 137,022 = 137,022 : x
  2. Step 2: Convert to fraction form
    64,596/137,022 = 137,022/x
  3. Step 3: Cross multiply
    64,596x = 137,022 × 137,022
  4. Step 4: Simplify right side
    64,596x = 18,775,028,484
  5. Step 5: Solve for x
    x = 18,775,028,484/64,596
  6. Step 6: Final answer
    x = 290,653.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.