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Finding the Third Proportional to 63,465 and 135,080.25

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Solution

The third proportional to 63,465 and 135,080.25 is: 287,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,465 : 135,080.25 = 135,080.25 : x
  2. Step 2: Convert to fraction form
    63,465/135,080.25 = 135,080.25/x
  3. Step 3: Cross multiply
    63,465x = 135,080.25 × 135,080.25
  4. Step 4: Simplify right side
    63,465x = 18,246,673,940.06
  5. Step 5: Solve for x
    x = 18,246,673,940.06/63,465
  6. Step 6: Final answer
    x = 287,507.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.