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Finding the Third Proportional to 97,357 and 142,206

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Solution

The third proportional to 97,357 and 142,206 is: 207,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,357 : 142,206 = 142,206 : x
  2. Step 2: Convert to fraction form
    97,357/142,206 = 142,206/x
  3. Step 3: Cross multiply
    97,357x = 142,206 × 142,206
  4. Step 4: Simplify right side
    97,357x = 20,222,546,436
  5. Step 5: Solve for x
    x = 20,222,546,436/97,357
  6. Step 6: Final answer
    x = 207,715.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.