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Finding the Third Proportional to 86,051.25 and 186,402.94

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Solution

The third proportional to 86,051.25 and 186,402.94 is: 403,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,051.25 : 186,402.94 = 186,402.94 : x
  2. Step 2: Convert to fraction form
    86,051.25/186,402.94 = 186,402.94/x
  3. Step 3: Cross multiply
    86,051.25x = 186,402.94 × 186,402.94
  4. Step 4: Simplify right side
    86,051.25x = 34,746,055,108.63
  5. Step 5: Solve for x
    x = 34,746,055,108.63/86,051.25
  6. Step 6: Final answer
    x = 403,783.27

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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.