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Finding the Third Proportional to 64,312 and 133,552

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Solution

The third proportional to 64,312 and 133,552 is: 277,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,312 : 133,552 = 133,552 : x
  2. Step 2: Convert to fraction form
    64,312/133,552 = 133,552/x
  3. Step 3: Cross multiply
    64,312x = 133,552 × 133,552
  4. Step 4: Simplify right side
    64,312x = 17,836,136,704
  5. Step 5: Solve for x
    x = 17,836,136,704/64,312
  6. Step 6: Final answer
    x = 277,337.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.