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Finding the Third Proportional to 58,045.50 and 92,682

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Solution

The third proportional to 58,045.50 and 92,682 is: 147,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,045.50 : 92,682 = 92,682 : x
  2. Step 2: Convert to fraction form
    58,045.50/92,682 = 92,682/x
  3. Step 3: Cross multiply
    58,045.50x = 92,682 × 92,682
  4. Step 4: Simplify right side
    58,045.50x = 8,589,953,124
  5. Step 5: Solve for x
    x = 8,589,953,124/58,045.50
  6. Step 6: Final answer
    x = 147,986.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.