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Finding the Third Proportional to 130,553.65 and 273,101.63

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Solution

The third proportional to 130,553.65 and 273,101.63 is: 571,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,553.65 : 273,101.63 = 273,101.63 : x
  2. Step 2: Convert to fraction form
    130,553.65/273,101.63 = 273,101.63/x
  3. Step 3: Cross multiply
    130,553.65x = 273,101.63 × 273,101.63
  4. Step 4: Simplify right side
    130,553.65x = 74,584,497,577.64
  5. Step 5: Solve for x
    x = 74,584,497,577.64/130,553.65
  6. Step 6: Final answer
    x = 571,293.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.