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Finding the Third Proportional to 58,451.63 and 123,859.13

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Solution

The third proportional to 58,451.63 and 123,859.13 is: 262,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,451.63 : 123,859.13 = 123,859.13 : x
  2. Step 2: Convert to fraction form
    58,451.63/123,859.13 = 123,859.13/x
  3. Step 3: Cross multiply
    58,451.63x = 123,859.13 × 123,859.13
  4. Step 4: Simplify right side
    58,451.63x = 15,341,082,845.77
  5. Step 5: Solve for x
    x = 15,341,082,845.77/58,451.63
  6. Step 6: Final answer
    x = 262,457.76

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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.