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Finding the Third Proportional to 115,053 and 251,025

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Solution

The third proportional to 115,053 and 251,025 is: 547,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,053 : 251,025 = 251,025 : x
  2. Step 2: Convert to fraction form
    115,053/251,025 = 251,025/x
  3. Step 3: Cross multiply
    115,053x = 251,025 × 251,025
  4. Step 4: Simplify right side
    115,053x = 63,013,550,625
  5. Step 5: Solve for x
    x = 63,013,550,625/115,053
  6. Step 6: Final answer
    x = 547,691.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.