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Finding the Third Proportional to 117,042.50 and 248,029

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Solution

The third proportional to 117,042.50 and 248,029 is: 525,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,042.50 : 248,029 = 248,029 : x
  2. Step 2: Convert to fraction form
    117,042.50/248,029 = 248,029/x
  3. Step 3: Cross multiply
    117,042.50x = 248,029 × 248,029
  4. Step 4: Simplify right side
    117,042.50x = 61,518,384,841
  5. Step 5: Solve for x
    x = 61,518,384,841/117,042.50
  6. Step 6: Final answer
    x = 525,607.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.