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Finding the Third Proportional to 92,292 and 202,056

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Solution

The third proportional to 92,292 and 202,056 is: 442,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,292 : 202,056 = 202,056 : x
  2. Step 2: Convert to fraction form
    92,292/202,056 = 202,056/x
  3. Step 3: Cross multiply
    92,292x = 202,056 × 202,056
  4. Step 4: Simplify right side
    92,292x = 40,826,627,136
  5. Step 5: Solve for x
    x = 40,826,627,136/92,292
  6. Step 6: Final answer
    x = 442,363.66

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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.