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Finding the Third Proportional to 86,275.13 and 133,261.88

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Solution

The third proportional to 86,275.13 and 133,261.88 is: 205,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,275.13 : 133,261.88 = 133,261.88 : x
  2. Step 2: Convert to fraction form
    86,275.13/133,261.88 = 133,261.88/x
  3. Step 3: Cross multiply
    86,275.13x = 133,261.88 × 133,261.88
  4. Step 4: Simplify right side
    86,275.13x = 17,758,727,328.52
  5. Step 5: Solve for x
    x = 17,758,727,328.52/86,275.13
  6. Step 6: Final answer
    x = 205,838.33

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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.