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Finding the Third Proportional to 58,890.50 and 128,782

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Solution

The third proportional to 58,890.50 and 128,782 is: 281,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,890.50 : 128,782 = 128,782 : x
  2. Step 2: Convert to fraction form
    58,890.50/128,782 = 128,782/x
  3. Step 3: Cross multiply
    58,890.50x = 128,782 × 128,782
  4. Step 4: Simplify right side
    58,890.50x = 16,584,803,524
  5. Step 5: Solve for x
    x = 16,584,803,524/58,890.50
  6. Step 6: Final answer
    x = 281,621.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.