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Finding the Third Proportional to 52,004 and 121,334

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Solution

The third proportional to 52,004 and 121,334 is: 283,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 121,334 = 121,334 : x
  2. Step 2: Convert to fraction form
    52,004/121,334 = 121,334/x
  3. Step 3: Cross multiply
    52,004x = 121,334 × 121,334
  4. Step 4: Simplify right side
    52,004x = 14,721,939,556
  5. Step 5: Solve for x
    x = 14,721,939,556/52,004
  6. Step 6: Final answer
    x = 283,092.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.