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Finding the Third Proportional to 134,105.63 and 289,990.13

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Solution

The third proportional to 134,105.63 and 289,990.13 is: 627,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,105.63 : 289,990.13 = 289,990.13 : x
  2. Step 2: Convert to fraction form
    134,105.63/289,990.13 = 289,990.13/x
  3. Step 3: Cross multiply
    134,105.63x = 289,990.13 × 289,990.13
  4. Step 4: Simplify right side
    134,105.63x = 84,094,272,597.52
  5. Step 5: Solve for x
    x = 84,094,272,597.52/134,105.63
  6. Step 6: Final answer
    x = 627,074.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.