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Finding the Third Proportional to 97,249.50 and 142,371

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Solution

The third proportional to 97,249.50 and 142,371 is: 208,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,249.50 : 142,371 = 142,371 : x
  2. Step 2: Convert to fraction form
    97,249.50/142,371 = 142,371/x
  3. Step 3: Cross multiply
    97,249.50x = 142,371 × 142,371
  4. Step 4: Simplify right side
    97,249.50x = 20,269,501,641
  5. Step 5: Solve for x
    x = 20,269,501,641/97,249.50
  6. Step 6: Final answer
    x = 208,427.82

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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.