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Finding the Third Proportional to 42,732 and 92,835

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Solution

The third proportional to 42,732 and 92,835 is: 201,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,732 : 92,835 = 92,835 : x
  2. Step 2: Convert to fraction form
    42,732/92,835 = 92,835/x
  3. Step 3: Cross multiply
    42,732x = 92,835 × 92,835
  4. Step 4: Simplify right side
    42,732x = 8,618,337,225
  5. Step 5: Solve for x
    x = 8,618,337,225/42,732
  6. Step 6: Final answer
    x = 201,683.45

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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.