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Finding the Third Proportional to 97,363 and 202,124

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Solution

The third proportional to 97,363 and 202,124 is: 419,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,363 : 202,124 = 202,124 : x
  2. Step 2: Convert to fraction form
    97,363/202,124 = 202,124/x
  3. Step 3: Cross multiply
    97,363x = 202,124 × 202,124
  4. Step 4: Simplify right side
    97,363x = 40,854,111,376
  5. Step 5: Solve for x
    x = 40,854,111,376/97,363
  6. Step 6: Final answer
    x = 419,606.13

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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.