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Finding the Third Proportional to 63,693 and 138,341.25

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Solution

The third proportional to 63,693 and 138,341.25 is: 300,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,693 : 138,341.25 = 138,341.25 : x
  2. Step 2: Convert to fraction form
    63,693/138,341.25 = 138,341.25/x
  3. Step 3: Cross multiply
    63,693x = 138,341.25 × 138,341.25
  4. Step 4: Simplify right side
    63,693x = 19,138,301,451.56
  5. Step 5: Solve for x
    x = 19,138,301,451.56/63,693
  6. Step 6: Final answer
    x = 300,477.31

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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.