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Finding the Third Proportional to 92,064 and 201,624

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Solution

The third proportional to 92,064 and 201,624 is: 441,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,064 : 201,624 = 201,624 : x
  2. Step 2: Convert to fraction form
    92,064/201,624 = 201,624/x
  3. Step 3: Cross multiply
    92,064x = 201,624 × 201,624
  4. Step 4: Simplify right side
    92,064x = 40,652,237,376
  5. Step 5: Solve for x
    x = 40,652,237,376/92,064
  6. Step 6: Final answer
    x = 441,564.97

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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.