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Finding the Third Proportional to 54,637 and 113,066

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Solution

The third proportional to 54,637 and 113,066 is: 233,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,637 : 113,066 = 113,066 : x
  2. Step 2: Convert to fraction form
    54,637/113,066 = 113,066/x
  3. Step 3: Cross multiply
    54,637x = 113,066 × 113,066
  4. Step 4: Simplify right side
    54,637x = 12,783,920,356
  5. Step 5: Solve for x
    x = 12,783,920,356/54,637
  6. Step 6: Final answer
    x = 233,979.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.