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Finding the Third Proportional to 111,410 and 168,060

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Solution

The third proportional to 111,410 and 168,060 is: 253,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,410 : 168,060 = 168,060 : x
  2. Step 2: Convert to fraction form
    111,410/168,060 = 168,060/x
  3. Step 3: Cross multiply
    111,410x = 168,060 × 168,060
  4. Step 4: Simplify right side
    111,410x = 28,244,163,600
  5. Step 5: Solve for x
    x = 28,244,163,600/111,410
  6. Step 6: Final answer
    x = 253,515.52

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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.