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Finding the Third Proportional to 97,407 and 142,425

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Solution

The third proportional to 97,407 and 142,425 is: 208,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407 : 142,425 = 142,425 : x
  2. Step 2: Convert to fraction form
    97,407/142,425 = 142,425/x
  3. Step 3: Cross multiply
    97,407x = 142,425 × 142,425
  4. Step 4: Simplify right side
    97,407x = 20,284,880,625
  5. Step 5: Solve for x
    x = 20,284,880,625/97,407
  6. Step 6: Final answer
    x = 208,248.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.