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Finding the Third Proportional to 58,285.13 and 90,272.81

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Solution

The third proportional to 58,285.13 and 90,272.81 is: 139,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,285.13 : 90,272.81 = 90,272.81 : x
  2. Step 2: Convert to fraction form
    58,285.13/90,272.81 = 90,272.81/x
  3. Step 3: Cross multiply
    58,285.13x = 90,272.81 × 90,272.81
  4. Step 4: Simplify right side
    58,285.13x = 8,149,180,676.66
  5. Step 5: Solve for x
    x = 8,149,180,676.66/58,285.13
  6. Step 6: Final answer
    x = 139,815.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.