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Finding the Third Proportional to 97,174.69 and 149,913.28

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Solution

The third proportional to 97,174.69 and 149,913.28 is: 231,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,174.69 : 149,913.28 = 149,913.28 : x
  2. Step 2: Convert to fraction form
    97,174.69/149,913.28 = 149,913.28/x
  3. Step 3: Cross multiply
    97,174.69x = 149,913.28 × 149,913.28
  4. Step 4: Simplify right side
    97,174.69x = 22,473,991,895.14
  5. Step 5: Solve for x
    x = 22,473,991,895.14/97,174.69
  6. Step 6: Final answer
    x = 231,274.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.