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Finding the Third Proportional to 86,281 and 133,271

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Solution

The third proportional to 86,281 and 133,271 is: 205,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,281 : 133,271 = 133,271 : x
  2. Step 2: Convert to fraction form
    86,281/133,271 = 133,271/x
  3. Step 3: Cross multiply
    86,281x = 133,271 × 133,271
  4. Step 4: Simplify right side
    86,281x = 17,761,159,441
  5. Step 5: Solve for x
    x = 17,761,159,441/86,281
  6. Step 6: Final answer
    x = 205,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.