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Finding the Third Proportional to 53,647.13 and 116,512.13

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Solution

The third proportional to 53,647.13 and 116,512.13 is: 253,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647.13 : 116,512.13 = 116,512.13 : x
  2. Step 2: Convert to fraction form
    53,647.13/116,512.13 = 116,512.13/x
  3. Step 3: Cross multiply
    53,647.13x = 116,512.13 × 116,512.13
  4. Step 4: Simplify right side
    53,647.13x = 13,575,075,272.02
  5. Step 5: Solve for x
    x = 13,575,075,272.02/53,647.13
  6. Step 6: Final answer
    x = 253,043.85

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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.