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Finding the Third Proportional to 53,656 and 115,492

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Solution

The third proportional to 53,656 and 115,492 is: 248,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,656 : 115,492 = 115,492 : x
  2. Step 2: Convert to fraction form
    53,656/115,492 = 115,492/x
  3. Step 3: Cross multiply
    53,656x = 115,492 × 115,492
  4. Step 4: Simplify right side
    53,656x = 13,338,402,064
  5. Step 5: Solve for x
    x = 13,338,402,064/53,656
  6. Step 6: Final answer
    x = 248,591.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.