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Finding the Third Proportional to 92,829.38 and 135,275.06

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Solution

The third proportional to 92,829.38 and 135,275.06 is: 197,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,829.38 : 135,275.06 = 135,275.06 : x
  2. Step 2: Convert to fraction form
    92,829.38/135,275.06 = 135,275.06/x
  3. Step 3: Cross multiply
    92,829.38x = 135,275.06 × 135,275.06
  4. Step 4: Simplify right side
    92,829.38x = 18,299,342,534.38
  5. Step 5: Solve for x
    x = 18,299,342,534.38/92,829.38
  6. Step 6: Final answer
    x = 197,128.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.