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Finding the Third Proportional to 56,101 and 123,861

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Solution

The third proportional to 56,101 and 123,861 is: 273,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,101 : 123,861 = 123,861 : x
  2. Step 2: Convert to fraction form
    56,101/123,861 = 123,861/x
  3. Step 3: Cross multiply
    56,101x = 123,861 × 123,861
  4. Step 4: Simplify right side
    56,101x = 15,341,547,321
  5. Step 5: Solve for x
    x = 15,341,547,321/56,101
  6. Step 6: Final answer
    x = 273,462.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.