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Finding the Third Proportional to 53,451 and 115,460

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Solution

The third proportional to 53,451 and 115,460 is: 249,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,451 : 115,460 = 115,460 : x
  2. Step 2: Convert to fraction form
    53,451/115,460 = 115,460/x
  3. Step 3: Cross multiply
    53,451x = 115,460 × 115,460
  4. Step 4: Simplify right side
    53,451x = 13,331,011,600
  5. Step 5: Solve for x
    x = 13,331,011,600/53,451
  6. Step 6: Final answer
    x = 249,406.22

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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.