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Finding the Third Proportional to 62,103 and 134,708.06

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Solution

The third proportional to 62,103 and 134,708.06 is: 292,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,103 : 134,708.06 = 134,708.06 : x
  2. Step 2: Convert to fraction form
    62,103/134,708.06 = 134,708.06/x
  3. Step 3: Cross multiply
    62,103x = 134,708.06 × 134,708.06
  4. Step 4: Simplify right side
    62,103x = 18,146,262,102.50
  5. Step 5: Solve for x
    x = 18,146,262,102.50/62,103
  6. Step 6: Final answer
    x = 292,196.22

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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.