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Finding the Third Proportional to 97,283 and 207,121

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Solution

The third proportional to 97,283 and 207,121 is: 440,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,283 : 207,121 = 207,121 : x
  2. Step 2: Convert to fraction form
    97,283/207,121 = 207,121/x
  3. Step 3: Cross multiply
    97,283x = 207,121 × 207,121
  4. Step 4: Simplify right side
    97,283x = 42,899,108,641
  5. Step 5: Solve for x
    x = 42,899,108,641/97,283
  6. Step 6: Final answer
    x = 440,972.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.