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Finding the Third Proportional to 61,652 and 114,556

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Solution

The third proportional to 61,652 and 114,556 is: 212,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,652 : 114,556 = 114,556 : x
  2. Step 2: Convert to fraction form
    61,652/114,556 = 114,556/x
  3. Step 3: Cross multiply
    61,652x = 114,556 × 114,556
  4. Step 4: Simplify right side
    61,652x = 13,123,077,136
  5. Step 5: Solve for x
    x = 13,123,077,136/61,652
  6. Step 6: Final answer
    x = 212,857.28

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.