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Finding the Third Proportional to 53,001 and 115,470

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Solution

The third proportional to 53,001 and 115,470 is: 251,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,001 : 115,470 = 115,470 : x
  2. Step 2: Convert to fraction form
    53,001/115,470 = 115,470/x
  3. Step 3: Cross multiply
    53,001x = 115,470 × 115,470
  4. Step 4: Simplify right side
    53,001x = 13,333,320,900
  5. Step 5: Solve for x
    x = 13,333,320,900/53,001
  6. Step 6: Final answer
    x = 251,567.35

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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.