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Finding the Third Proportional to 56,035.13 and 84,263.63

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Solution

The third proportional to 56,035.13 and 84,263.63 is: 126,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,035.13 : 84,263.63 = 84,263.63 : x
  2. Step 2: Convert to fraction form
    56,035.13/84,263.63 = 84,263.63/x
  3. Step 3: Cross multiply
    56,035.13x = 84,263.63 × 84,263.63
  4. Step 4: Simplify right side
    56,035.13x = 7,100,358,498.14
  5. Step 5: Solve for x
    x = 7,100,358,498.14/56,035.13
  6. Step 6: Final answer
    x = 126,712.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.