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Finding the Third Proportional to 58,471.88 and 90,502.31

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Solution

The third proportional to 58,471.88 and 90,502.31 is: 140,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471.88 : 90,502.31 = 90,502.31 : x
  2. Step 2: Convert to fraction form
    58,471.88/90,502.31 = 90,502.31/x
  3. Step 3: Cross multiply
    58,471.88x = 90,502.31 × 90,502.31
  4. Step 4: Simplify right side
    58,471.88x = 8,190,668,567.85
  5. Step 5: Solve for x
    x = 8,190,668,567.85/58,471.88
  6. Step 6: Final answer
    x = 140,078.77

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