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Finding the Third Proportional to 58,825.13 and 90,002.81

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Solution

The third proportional to 58,825.13 and 90,002.81 is: 137,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,825.13 : 90,002.81 = 90,002.81 : x
  2. Step 2: Convert to fraction form
    58,825.13/90,002.81 = 90,002.81/x
  3. Step 3: Cross multiply
    58,825.13x = 90,002.81 × 90,002.81
  4. Step 4: Simplify right side
    58,825.13x = 8,100,506,257.91
  5. Step 5: Solve for x
    x = 8,100,506,257.91/58,825.13
  6. Step 6: Final answer
    x = 137,704.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.