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Finding the Third Proportional to 64,732 and 138,788

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Solution

The third proportional to 64,732 and 138,788 is: 297,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,732 : 138,788 = 138,788 : x
  2. Step 2: Convert to fraction form
    64,732/138,788 = 138,788/x
  3. Step 3: Cross multiply
    64,732x = 138,788 × 138,788
  4. Step 4: Simplify right side
    64,732x = 19,262,108,944
  5. Step 5: Solve for x
    x = 19,262,108,944/64,732
  6. Step 6: Final answer
    x = 297,567.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.