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Finding the Third Proportional to 97,284 and 145,710

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Solution

The third proportional to 97,284 and 145,710 is: 218,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,284 : 145,710 = 145,710 : x
  2. Step 2: Convert to fraction form
    97,284/145,710 = 145,710/x
  3. Step 3: Cross multiply
    97,284x = 145,710 × 145,710
  4. Step 4: Simplify right side
    97,284x = 21,231,404,100
  5. Step 5: Solve for x
    x = 21,231,404,100/97,284
  6. Step 6: Final answer
    x = 218,241.48

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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.