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Finding the Third Proportional to 64,306 and 133,540

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Solution

The third proportional to 64,306 and 133,540 is: 277,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306 : 133,540 = 133,540 : x
  2. Step 2: Convert to fraction form
    64,306/133,540 = 133,540/x
  3. Step 3: Cross multiply
    64,306x = 133,540 × 133,540
  4. Step 4: Simplify right side
    64,306x = 17,832,931,600
  5. Step 5: Solve for x
    x = 17,832,931,600/64,306
  6. Step 6: Final answer
    x = 277,313.65

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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.