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Finding the Third Proportional to 58,651.59 and 128,967.19

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Solution

The third proportional to 58,651.59 and 128,967.19 is: 283,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,651.59 : 128,967.19 = 128,967.19 : x
  2. Step 2: Convert to fraction form
    58,651.59/128,967.19 = 128,967.19/x
  3. Step 3: Cross multiply
    58,651.59x = 128,967.19 × 128,967.19
  4. Step 4: Simplify right side
    58,651.59x = 16,632,535,451.66
  5. Step 5: Solve for x
    x = 16,632,535,451.66/58,651.59
  6. Step 6: Final answer
    x = 283,581.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.