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Finding the Third Proportional to 64,036 and 137,560

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Solution

The third proportional to 64,036 and 137,560 is: 295,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,036 : 137,560 = 137,560 : x
  2. Step 2: Convert to fraction form
    64,036/137,560 = 137,560/x
  3. Step 3: Cross multiply
    64,036x = 137,560 × 137,560
  4. Step 4: Simplify right side
    64,036x = 18,922,753,600
  5. Step 5: Solve for x
    x = 18,922,753,600/64,036
  6. Step 6: Final answer
    x = 295,501.81

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Why These Related Problems?

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