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Finding the Third Proportional to 97,549 and 145,907

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Solution

The third proportional to 97,549 and 145,907 is: 218,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,549 : 145,907 = 145,907 : x
  2. Step 2: Convert to fraction form
    97,549/145,907 = 145,907/x
  3. Step 3: Cross multiply
    97,549x = 145,907 × 145,907
  4. Step 4: Simplify right side
    97,549x = 21,288,852,649
  5. Step 5: Solve for x
    x = 21,288,852,649/97,549
  6. Step 6: Final answer
    x = 218,237.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.