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Finding the Third Proportional to 133,514 and 186,663

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Solution

The third proportional to 133,514 and 186,663 is: 260,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,514 : 186,663 = 186,663 : x
  2. Step 2: Convert to fraction form
    133,514/186,663 = 186,663/x
  3. Step 3: Cross multiply
    133,514x = 186,663 × 186,663
  4. Step 4: Simplify right side
    133,514x = 34,843,075,569
  5. Step 5: Solve for x
    x = 34,843,075,569/133,514
  6. Step 6: Final answer
    x = 260,969.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.