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Finding the Third Proportional to 97,680 and 147,900

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Solution

The third proportional to 97,680 and 147,900 is: 223,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,680 : 147,900 = 147,900 : x
  2. Step 2: Convert to fraction form
    97,680/147,900 = 147,900/x
  3. Step 3: Cross multiply
    97,680x = 147,900 × 147,900
  4. Step 4: Simplify right side
    97,680x = 21,874,410,000
  5. Step 5: Solve for x
    x = 21,874,410,000/97,680
  6. Step 6: Final answer
    x = 223,939.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.