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Finding the Third Proportional to 64,040 and 137,944

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Solution

The third proportional to 64,040 and 137,944 is: 297,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,040 : 137,944 = 137,944 : x
  2. Step 2: Convert to fraction form
    64,040/137,944 = 137,944/x
  3. Step 3: Cross multiply
    64,040x = 137,944 × 137,944
  4. Step 4: Simplify right side
    64,040x = 19,028,547,136
  5. Step 5: Solve for x
    x = 19,028,547,136/64,040
  6. Step 6: Final answer
    x = 297,135.34

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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.