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Finding the Third Proportional to 97,272 and 145,909

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Solution

The third proportional to 97,272 and 145,909 is: 218,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272 : 145,909 = 145,909 : x
  2. Step 2: Convert to fraction form
    97,272/145,909 = 145,909/x
  3. Step 3: Cross multiply
    97,272x = 145,909 × 145,909
  4. Step 4: Simplify right side
    97,272x = 21,289,436,281
  5. Step 5: Solve for x
    x = 21,289,436,281/97,272
  6. Step 6: Final answer
    x = 218,865.00

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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.