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Finding the Third Proportional to 55,644 and 120,724

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Solution

The third proportional to 55,644 and 120,724 is: 261,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,644 : 120,724 = 120,724 : x
  2. Step 2: Convert to fraction form
    55,644/120,724 = 120,724/x
  3. Step 3: Cross multiply
    55,644x = 120,724 × 120,724
  4. Step 4: Simplify right side
    55,644x = 14,574,284,176
  5. Step 5: Solve for x
    x = 14,574,284,176/55,644
  6. Step 6: Final answer
    x = 261,920.14

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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.