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Finding the Third Proportional to 53,001 and 122,600.25

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Solution

The third proportional to 53,001 and 122,600.25 is: 283,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,001 : 122,600.25 = 122,600.25 : x
  2. Step 2: Convert to fraction form
    53,001/122,600.25 = 122,600.25/x
  3. Step 3: Cross multiply
    53,001x = 122,600.25 × 122,600.25
  4. Step 4: Simplify right side
    53,001x = 15,030,821,300.06
  5. Step 5: Solve for x
    x = 15,030,821,300.06/53,001
  6. Step 6: Final answer
    x = 283,595.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.