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Finding the Third Proportional to 131,490 and 186,057

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Solution

The third proportional to 131,490 and 186,057 is: 263,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,490 : 186,057 = 186,057 : x
  2. Step 2: Convert to fraction form
    131,490/186,057 = 186,057/x
  3. Step 3: Cross multiply
    131,490x = 186,057 × 186,057
  4. Step 4: Simplify right side
    131,490x = 34,617,207,249
  5. Step 5: Solve for x
    x = 34,617,207,249/131,490
  6. Step 6: Final answer
    x = 263,268.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.