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Finding the Third Proportional to 58,123.72 and 82,267.63

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Solution

The third proportional to 58,123.72 and 82,267.63 is: 116,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,123.72 : 82,267.63 = 82,267.63 : x
  2. Step 2: Convert to fraction form
    58,123.72/82,267.63 = 82,267.63/x
  3. Step 3: Cross multiply
    58,123.72x = 82,267.63 × 82,267.63
  4. Step 4: Simplify right side
    58,123.72x = 6,767,962,765.86
  5. Step 5: Solve for x
    x = 6,767,962,765.86/58,123.72
  6. Step 6: Final answer
    x = 116,440.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.