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Finding the Third Proportional to 42,570 and 92,508

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Solution

The third proportional to 42,570 and 92,508 is: 201,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570 : 92,508 = 92,508 : x
  2. Step 2: Convert to fraction form
    42,570/92,508 = 92,508/x
  3. Step 3: Cross multiply
    42,570x = 92,508 × 92,508
  4. Step 4: Simplify right side
    42,570x = 8,557,730,064
  5. Step 5: Solve for x
    x = 8,557,730,064/42,570
  6. Step 6: Final answer
    x = 201,027.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.