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Finding the Third Proportional to 97,331.63 and 147,825

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Solution

The third proportional to 97,331.63 and 147,825 is: 224,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,331.63 : 147,825 = 147,825 : x
  2. Step 2: Convert to fraction form
    97,331.63/147,825 = 147,825/x
  3. Step 3: Cross multiply
    97,331.63x = 147,825 × 147,825
  4. Step 4: Simplify right side
    97,331.63x = 21,852,230,625
  5. Step 5: Solve for x
    x = 21,852,230,625/97,331.63
  6. Step 6: Final answer
    x = 224,513.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.