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Finding the Third Proportional to 42,107.63 and 92,142

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Solution

The third proportional to 42,107.63 and 92,142 is: 201,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,107.63 : 92,142 = 92,142 : x
  2. Step 2: Convert to fraction form
    42,107.63/92,142 = 92,142/x
  3. Step 3: Cross multiply
    42,107.63x = 92,142 × 92,142
  4. Step 4: Simplify right side
    42,107.63x = 8,490,148,164
  5. Step 5: Solve for x
    x = 8,490,148,164/42,107.63
  6. Step 6: Final answer
    x = 201,629.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.