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Finding the Third Proportional to 42,106.50 and 92,133

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Solution

The third proportional to 42,106.50 and 92,133 is: 201,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106.50 : 92,133 = 92,133 : x
  2. Step 2: Convert to fraction form
    42,106.50/92,133 = 92,133/x
  3. Step 3: Cross multiply
    42,106.50x = 92,133 × 92,133
  4. Step 4: Simplify right side
    42,106.50x = 8,488,489,689
  5. Step 5: Solve for x
    x = 8,488,489,689/42,106.50
  6. Step 6: Final answer
    x = 201,595.71

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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.