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Finding the Third Proportional to 58,124.81 and 82,269.19

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Solution

The third proportional to 58,124.81 and 82,269.19 is: 116,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,124.81 : 82,269.19 = 82,269.19 : x
  2. Step 2: Convert to fraction form
    58,124.81/82,269.19 = 82,269.19/x
  3. Step 3: Cross multiply
    58,124.81x = 82,269.19 × 82,269.19
  4. Step 4: Simplify right side
    58,124.81x = 6,768,219,211.91
  5. Step 5: Solve for x
    x = 6,768,219,211.91/58,124.81
  6. Step 6: Final answer
    x = 116,442.86

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Why These Related Problems?

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