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Finding the Third Proportional to 86,701 and 186,335

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Solution

The third proportional to 86,701 and 186,335 is: 400,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,701 : 186,335 = 186,335 : x
  2. Step 2: Convert to fraction form
    86,701/186,335 = 186,335/x
  3. Step 3: Cross multiply
    86,701x = 186,335 × 186,335
  4. Step 4: Simplify right side
    86,701x = 34,720,732,225
  5. Step 5: Solve for x
    x = 34,720,732,225/86,701
  6. Step 6: Final answer
    x = 400,465.19

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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.