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Finding the Third Proportional to 90,594 and 130,491

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Solution

The third proportional to 90,594 and 130,491 is: 187,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,594 : 130,491 = 130,491 : x
  2. Step 2: Convert to fraction form
    90,594/130,491 = 130,491/x
  3. Step 3: Cross multiply
    90,594x = 130,491 × 130,491
  4. Step 4: Simplify right side
    90,594x = 17,027,901,081
  5. Step 5: Solve for x
    x = 17,027,901,081/90,594
  6. Step 6: Final answer
    x = 187,958.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.