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Finding the Third Proportional to 130,060 and 190,134

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Solution

The third proportional to 130,060 and 190,134 is: 277,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,060 : 190,134 = 190,134 : x
  2. Step 2: Convert to fraction form
    130,060/190,134 = 190,134/x
  3. Step 3: Cross multiply
    130,060x = 190,134 × 190,134
  4. Step 4: Simplify right side
    130,060x = 36,150,937,956
  5. Step 5: Solve for x
    x = 36,150,937,956/130,060
  6. Step 6: Final answer
    x = 277,955.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.