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Finding the Third Proportional to 53,381 and 115,527

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Solution

The third proportional to 53,381 and 115,527 is: 250,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,381 : 115,527 = 115,527 : x
  2. Step 2: Convert to fraction form
    53,381/115,527 = 115,527/x
  3. Step 3: Cross multiply
    53,381x = 115,527 × 115,527
  4. Step 4: Simplify right side
    53,381x = 13,346,487,729
  5. Step 5: Solve for x
    x = 13,346,487,729/53,381
  6. Step 6: Final answer
    x = 250,023.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.