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Finding the Third Proportional to 58,940 and 127,292.50

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Solution

The third proportional to 58,940 and 127,292.50 is: 274,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,940 : 127,292.50 = 127,292.50 : x
  2. Step 2: Convert to fraction form
    58,940/127,292.50 = 127,292.50/x
  3. Step 3: Cross multiply
    58,940x = 127,292.50 × 127,292.50
  4. Step 4: Simplify right side
    58,940x = 16,203,380,556.25
  5. Step 5: Solve for x
    x = 16,203,380,556.25/58,940
  6. Step 6: Final answer
    x = 274,913.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.