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Finding the Third Proportional to 97,392 and 202,575

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Solution

The third proportional to 97,392 and 202,575 is: 421,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,392 : 202,575 = 202,575 : x
  2. Step 2: Convert to fraction form
    97,392/202,575 = 202,575/x
  3. Step 3: Cross multiply
    97,392x = 202,575 × 202,575
  4. Step 4: Simplify right side
    97,392x = 41,036,630,625
  5. Step 5: Solve for x
    x = 41,036,630,625/97,392
  6. Step 6: Final answer
    x = 421,355.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.