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Finding the Third Proportional to 97,634 and 147,531

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Solution

The third proportional to 97,634 and 147,531 is: 222,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,634 : 147,531 = 147,531 : x
  2. Step 2: Convert to fraction form
    97,634/147,531 = 147,531/x
  3. Step 3: Cross multiply
    97,634x = 147,531 × 147,531
  4. Step 4: Simplify right side
    97,634x = 21,765,395,961
  5. Step 5: Solve for x
    x = 21,765,395,961/97,634
  6. Step 6: Final answer
    x = 222,928.45

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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.