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Finding the Third Proportional to 53,317 and 115,172.50

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Solution

The third proportional to 53,317 and 115,172.50 is: 248,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,317 : 115,172.50 = 115,172.50 : x
  2. Step 2: Convert to fraction form
    53,317/115,172.50 = 115,172.50/x
  3. Step 3: Cross multiply
    53,317x = 115,172.50 × 115,172.50
  4. Step 4: Simplify right side
    53,317x = 13,264,704,756.25
  5. Step 5: Solve for x
    x = 13,264,704,756.25/53,317
  6. Step 6: Final answer
    x = 248,789.41

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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.