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Finding the Third Proportional to 97,569 and 202,792

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Solution

The third proportional to 97,569 and 202,792 is: 421,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569 : 202,792 = 202,792 : x
  2. Step 2: Convert to fraction form
    97,569/202,792 = 202,792/x
  3. Step 3: Cross multiply
    97,569x = 202,792 × 202,792
  4. Step 4: Simplify right side
    97,569x = 41,124,595,264
  5. Step 5: Solve for x
    x = 41,124,595,264/97,569
  6. Step 6: Final answer
    x = 421,492.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.