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Finding the Third Proportional to 60,301.13 and 135,968.63

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Solution

The third proportional to 60,301.13 and 135,968.63 is: 306,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,301.13 : 135,968.63 = 135,968.63 : x
  2. Step 2: Convert to fraction form
    60,301.13/135,968.63 = 135,968.63/x
  3. Step 3: Cross multiply
    60,301.13x = 135,968.63 × 135,968.63
  4. Step 4: Simplify right side
    60,301.13x = 18,487,466,984.39
  5. Step 5: Solve for x
    x = 18,487,466,984.39/60,301.13
  6. Step 6: Final answer
    x = 306,585.77

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.