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Finding the Third Proportional to 59,229.13 and 139,819.63

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Solution

The third proportional to 59,229.13 and 139,819.63 is: 330,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,229.13 : 139,819.63 = 139,819.63 : x
  2. Step 2: Convert to fraction form
    59,229.13/139,819.63 = 139,819.63/x
  3. Step 3: Cross multiply
    59,229.13x = 139,819.63 × 139,819.63
  4. Step 4: Simplify right side
    59,229.13x = 19,549,527,535.14
  5. Step 5: Solve for x
    x = 19,549,527,535.14/59,229.13
  6. Step 6: Final answer
    x = 330,066.12

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.