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Finding the Third Proportional to 97,680 and 148,392

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Solution

The third proportional to 97,680 and 148,392 is: 225,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,680 : 148,392 = 148,392 : x
  2. Step 2: Convert to fraction form
    97,680/148,392 = 148,392/x
  3. Step 3: Cross multiply
    97,680x = 148,392 × 148,392
  4. Step 4: Simplify right side
    97,680x = 22,020,185,664
  5. Step 5: Solve for x
    x = 22,020,185,664/97,680
  6. Step 6: Final answer
    x = 225,431.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.