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Finding the Third Proportional to 86,472 and 186,276

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Solution

The third proportional to 86,472 and 186,276 is: 401,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,472 : 186,276 = 186,276 : x
  2. Step 2: Convert to fraction form
    86,472/186,276 = 186,276/x
  3. Step 3: Cross multiply
    86,472x = 186,276 × 186,276
  4. Step 4: Simplify right side
    86,472x = 34,698,748,176
  5. Step 5: Solve for x
    x = 34,698,748,176/86,472
  6. Step 6: Final answer
    x = 401,271.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.