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Finding the Third Proportional to 42,146.44 and 90,271.13

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Solution

The third proportional to 42,146.44 and 90,271.13 is: 193,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,146.44 : 90,271.13 = 90,271.13 : x
  2. Step 2: Convert to fraction form
    42,146.44/90,271.13 = 90,271.13/x
  3. Step 3: Cross multiply
    42,146.44x = 90,271.13 × 90,271.13
  4. Step 4: Simplify right side
    42,146.44x = 8,148,876,008.77
  5. Step 5: Solve for x
    x = 8,148,876,008.77/42,146.44
  6. Step 6: Final answer
    x = 193,346.73

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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.