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Finding the Third Proportional to 64,820 and 138,632

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Solution

The third proportional to 64,820 and 138,632 is: 296,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820 : 138,632 = 138,632 : x
  2. Step 2: Convert to fraction form
    64,820/138,632 = 138,632/x
  3. Step 3: Cross multiply
    64,820x = 138,632 × 138,632
  4. Step 4: Simplify right side
    64,820x = 19,218,831,424
  5. Step 5: Solve for x
    x = 19,218,831,424/64,820
  6. Step 6: Final answer
    x = 296,495.39

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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.