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Finding the Third Proportional to 64,500 and 133,557

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Solution

The third proportional to 64,500 and 133,557 is: 276,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,500 : 133,557 = 133,557 : x
  2. Step 2: Convert to fraction form
    64,500/133,557 = 133,557/x
  3. Step 3: Cross multiply
    64,500x = 133,557 × 133,557
  4. Step 4: Simplify right side
    64,500x = 17,837,472,249
  5. Step 5: Solve for x
    x = 17,837,472,249/64,500
  6. Step 6: Final answer
    x = 276,549.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.