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Finding the Third Proportional to 56,610 and 119,963

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Solution

The third proportional to 56,610 and 119,963 is: 254,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,610 : 119,963 = 119,963 : x
  2. Step 2: Convert to fraction form
    56,610/119,963 = 119,963/x
  3. Step 3: Cross multiply
    56,610x = 119,963 × 119,963
  4. Step 4: Simplify right side
    56,610x = 14,391,121,369
  5. Step 5: Solve for x
    x = 14,391,121,369/56,610
  6. Step 6: Final answer
    x = 254,215.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.