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Finding the Third Proportional to 64,155 and 138,678

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Solution

The third proportional to 64,155 and 138,678 is: 299,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,155 : 138,678 = 138,678 : x
  2. Step 2: Convert to fraction form
    64,155/138,678 = 138,678/x
  3. Step 3: Cross multiply
    64,155x = 138,678 × 138,678
  4. Step 4: Simplify right side
    64,155x = 19,231,587,684
  5. Step 5: Solve for x
    x = 19,231,587,684/64,155
  6. Step 6: Final answer
    x = 299,767.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.