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Finding the Third Proportional to 62,145 and 135,364.88

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Solution

The third proportional to 62,145 and 135,364.88 is: 294,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,145 : 135,364.88 = 135,364.88 : x
  2. Step 2: Convert to fraction form
    62,145/135,364.88 = 135,364.88/x
  3. Step 3: Cross multiply
    62,145x = 135,364.88 × 135,364.88
  4. Step 4: Simplify right side
    62,145x = 18,323,649,383.77
  5. Step 5: Solve for x
    x = 18,323,649,383.77/62,145
  6. Step 6: Final answer
    x = 294,853.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.