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Finding the Third Proportional to 42,102 and 92,130

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Solution

The third proportional to 42,102 and 92,130 is: 201,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102 : 92,130 = 92,130 : x
  2. Step 2: Convert to fraction form
    42,102/92,130 = 92,130/x
  3. Step 3: Cross multiply
    42,102x = 92,130 × 92,130
  4. Step 4: Simplify right side
    42,102x = 8,487,936,900
  5. Step 5: Solve for x
    x = 8,487,936,900/42,102
  6. Step 6: Final answer
    x = 201,604.13

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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.