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Finding the Third Proportional to 63,206 and 135,407.50

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Solution

The third proportional to 63,206 and 135,407.50 is: 290,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,206 : 135,407.50 = 135,407.50 : x
  2. Step 2: Convert to fraction form
    63,206/135,407.50 = 135,407.50/x
  3. Step 3: Cross multiply
    63,206x = 135,407.50 × 135,407.50
  4. Step 4: Simplify right side
    63,206x = 18,335,191,056.25
  5. Step 5: Solve for x
    x = 18,335,191,056.25/63,206
  6. Step 6: Final answer
    x = 290,086.24

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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.