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Finding the Third Proportional to 97,272 and 146,610

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Solution

The third proportional to 97,272 and 146,610 is: 220,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272 : 146,610 = 146,610 : x
  2. Step 2: Convert to fraction form
    97,272/146,610 = 146,610/x
  3. Step 3: Cross multiply
    97,272x = 146,610 × 146,610
  4. Step 4: Simplify right side
    97,272x = 21,494,492,100
  5. Step 5: Solve for x
    x = 21,494,492,100/97,272
  6. Step 6: Final answer
    x = 220,973.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.