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Finding the Third Proportional to 79,047 and 186,595

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Solution

The third proportional to 79,047 and 186,595 is: 440,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,047 : 186,595 = 186,595 : x
  2. Step 2: Convert to fraction form
    79,047/186,595 = 186,595/x
  3. Step 3: Cross multiply
    79,047x = 186,595 × 186,595
  4. Step 4: Simplify right side
    79,047x = 34,817,694,025
  5. Step 5: Solve for x
    x = 34,817,694,025/79,047
  6. Step 6: Final answer
    x = 440,468.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.