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Finding the Third Proportional to 58,216.50 and 127,329.75

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Solution

The third proportional to 58,216.50 and 127,329.75 is: 278,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,216.50 : 127,329.75 = 127,329.75 : x
  2. Step 2: Convert to fraction form
    58,216.50/127,329.75 = 127,329.75/x
  3. Step 3: Cross multiply
    58,216.50x = 127,329.75 × 127,329.75
  4. Step 4: Simplify right side
    58,216.50x = 16,212,865,235.06
  5. Step 5: Solve for x
    x = 16,212,865,235.06/58,216.50
  6. Step 6: Final answer
    x = 278,492.61

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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.