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Finding the Third Proportional to 97,180 and 145,852

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Solution

The third proportional to 97,180 and 145,852 is: 218,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,180 : 145,852 = 145,852 : x
  2. Step 2: Convert to fraction form
    97,180/145,852 = 145,852/x
  3. Step 3: Cross multiply
    97,180x = 145,852 × 145,852
  4. Step 4: Simplify right side
    97,180x = 21,272,805,904
  5. Step 5: Solve for x
    x = 21,272,805,904/97,180
  6. Step 6: Final answer
    x = 218,901.07

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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.