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Finding the Third Proportional to 54,265 and 117,551.50

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Solution

The third proportional to 54,265 and 117,551.50 is: 254,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,265 : 117,551.50 = 117,551.50 : x
  2. Step 2: Convert to fraction form
    54,265/117,551.50 = 117,551.50/x
  3. Step 3: Cross multiply
    54,265x = 117,551.50 × 117,551.50
  4. Step 4: Simplify right side
    54,265x = 13,818,355,152.25
  5. Step 5: Solve for x
    x = 13,818,355,152.25/54,265
  6. Step 6: Final answer
    x = 254,645.82

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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.