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Finding the Third Proportional to 54,436.50 and 116,254.13

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Solution

The third proportional to 54,436.50 and 116,254.13 is: 248,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,436.50 : 116,254.13 = 116,254.13 : x
  2. Step 2: Convert to fraction form
    54,436.50/116,254.13 = 116,254.13/x
  3. Step 3: Cross multiply
    54,436.50x = 116,254.13 × 116,254.13
  4. Step 4: Simplify right side
    54,436.50x = 13,515,021,579.52
  5. Step 5: Solve for x
    x = 13,515,021,579.52/54,436.50
  6. Step 6: Final answer
    x = 248,271.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.