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Finding the Third Proportional to 53,600 and 116,750

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Solution

The third proportional to 53,600 and 116,750 is: 254,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,600 : 116,750 = 116,750 : x
  2. Step 2: Convert to fraction form
    53,600/116,750 = 116,750/x
  3. Step 3: Cross multiply
    53,600x = 116,750 × 116,750
  4. Step 4: Simplify right side
    53,600x = 13,630,562,500
  5. Step 5: Solve for x
    x = 13,630,562,500/53,600
  6. Step 6: Final answer
    x = 254,301.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.