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Finding the Third Proportional to 97,168 and 142,973

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Solution

The third proportional to 97,168 and 142,973 is: 210,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,168 : 142,973 = 142,973 : x
  2. Step 2: Convert to fraction form
    97,168/142,973 = 142,973/x
  3. Step 3: Cross multiply
    97,168x = 142,973 × 142,973
  4. Step 4: Simplify right side
    97,168x = 20,441,278,729
  5. Step 5: Solve for x
    x = 20,441,278,729/97,168
  6. Step 6: Final answer
    x = 210,370.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.