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Finding the Third Proportional to 53,301 and 115,998

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Solution

The third proportional to 53,301 and 115,998 is: 252,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,301 : 115,998 = 115,998 : x
  2. Step 2: Convert to fraction form
    53,301/115,998 = 115,998/x
  3. Step 3: Cross multiply
    53,301x = 115,998 × 115,998
  4. Step 4: Simplify right side
    53,301x = 13,455,536,004
  5. Step 5: Solve for x
    x = 13,455,536,004/53,301
  6. Step 6: Final answer
    x = 252,444.34

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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.