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Finding the Third Proportional to 96,850 and 145,270

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Solution

The third proportional to 96,850 and 145,270 is: 217,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,850 : 145,270 = 145,270 : x
  2. Step 2: Convert to fraction form
    96,850/145,270 = 145,270/x
  3. Step 3: Cross multiply
    96,850x = 145,270 × 145,270
  4. Step 4: Simplify right side
    96,850x = 21,103,372,900
  5. Step 5: Solve for x
    x = 21,103,372,900/96,850
  6. Step 6: Final answer
    x = 217,897.50

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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.