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Finding the Third Proportional to 61,873.50 and 133,521

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Solution

The third proportional to 61,873.50 and 133,521 is: 288,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,873.50 : 133,521 = 133,521 : x
  2. Step 2: Convert to fraction form
    61,873.50/133,521 = 133,521/x
  3. Step 3: Cross multiply
    61,873.50x = 133,521 × 133,521
  4. Step 4: Simplify right side
    61,873.50x = 17,827,857,441
  5. Step 5: Solve for x
    x = 17,827,857,441/61,873.50
  6. Step 6: Final answer
    x = 288,133.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.