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Finding the Third Proportional to 97,535 and 209,620

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Solution

The third proportional to 97,535 and 209,620 is: 450,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,535 : 209,620 = 209,620 : x
  2. Step 2: Convert to fraction form
    97,535/209,620 = 209,620/x
  3. Step 3: Cross multiply
    97,535x = 209,620 × 209,620
  4. Step 4: Simplify right side
    97,535x = 43,940,544,400
  5. Step 5: Solve for x
    x = 43,940,544,400/97,535
  6. Step 6: Final answer
    x = 450,510.53

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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.