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Finding the Third Proportional to 42,628 and 92,750

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Solution

The third proportional to 42,628 and 92,750 is: 201,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628 : 92,750 = 92,750 : x
  2. Step 2: Convert to fraction form
    42,628/92,750 = 92,750/x
  3. Step 3: Cross multiply
    42,628x = 92,750 × 92,750
  4. Step 4: Simplify right side
    42,628x = 8,602,562,500
  5. Step 5: Solve for x
    x = 8,602,562,500/42,628
  6. Step 6: Final answer
    x = 201,805.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.