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Finding the Third Proportional to 55,712 and 119,200

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Solution

The third proportional to 55,712 and 119,200 is: 255,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,712 : 119,200 = 119,200 : x
  2. Step 2: Convert to fraction form
    55,712/119,200 = 119,200/x
  3. Step 3: Cross multiply
    55,712x = 119,200 × 119,200
  4. Step 4: Simplify right side
    55,712x = 14,208,640,000
  5. Step 5: Solve for x
    x = 14,208,640,000/55,712
  6. Step 6: Final answer
    x = 255,037.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.