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Finding the Third Proportional to 86,056 and 186,413

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Solution

The third proportional to 86,056 and 186,413 is: 403,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,056 : 186,413 = 186,413 : x
  2. Step 2: Convert to fraction form
    86,056/186,413 = 186,413/x
  3. Step 3: Cross multiply
    86,056x = 186,413 × 186,413
  4. Step 4: Simplify right side
    86,056x = 34,749,806,569
  5. Step 5: Solve for x
    x = 34,749,806,569/86,056
  6. Step 6: Final answer
    x = 403,804.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.