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Finding the Third Proportional to 97,548 and 209,652

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Solution

The third proportional to 97,548 and 209,652 is: 450,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,548 : 209,652 = 209,652 : x
  2. Step 2: Convert to fraction form
    97,548/209,652 = 209,652/x
  3. Step 3: Cross multiply
    97,548x = 209,652 × 209,652
  4. Step 4: Simplify right side
    97,548x = 43,953,961,104
  5. Step 5: Solve for x
    x = 43,953,961,104/97,548
  6. Step 6: Final answer
    x = 450,588.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.