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Finding the Third Proportional to 53,257.50 and 115,627.50

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Solution

The third proportional to 53,257.50 and 115,627.50 is: 251,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257.50 : 115,627.50 = 115,627.50 : x
  2. Step 2: Convert to fraction form
    53,257.50/115,627.50 = 115,627.50/x
  3. Step 3: Cross multiply
    53,257.50x = 115,627.50 × 115,627.50
  4. Step 4: Simplify right side
    53,257.50x = 13,369,718,756.25
  5. Step 5: Solve for x
    x = 13,369,718,756.25/53,257.50
  6. Step 6: Final answer
    x = 251,039.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.