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Finding the Third Proportional to 64,402 and 135,796

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Solution

The third proportional to 64,402 and 135,796 is: 286,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,402 : 135,796 = 135,796 : x
  2. Step 2: Convert to fraction form
    64,402/135,796 = 135,796/x
  3. Step 3: Cross multiply
    64,402x = 135,796 × 135,796
  4. Step 4: Simplify right side
    64,402x = 18,440,553,616
  5. Step 5: Solve for x
    x = 18,440,553,616/64,402
  6. Step 6: Final answer
    x = 286,335.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.