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Finding the Third Proportional to 93,978 and 145,419

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Solution

The third proportional to 93,978 and 145,419 is: 225,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,978 : 145,419 = 145,419 : x
  2. Step 2: Convert to fraction form
    93,978/145,419 = 145,419/x
  3. Step 3: Cross multiply
    93,978x = 145,419 × 145,419
  4. Step 4: Simplify right side
    93,978x = 21,146,685,561
  5. Step 5: Solve for x
    x = 21,146,685,561/93,978
  6. Step 6: Final answer
    x = 225,017.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.