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Finding the Third Proportional to 137,583.56 and 211,501.13

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Solution

The third proportional to 137,583.56 and 211,501.13 is: 325,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.56 : 211,501.13 = 211,501.13 : x
  2. Step 2: Convert to fraction form
    137,583.56/211,501.13 = 211,501.13/x
  3. Step 3: Cross multiply
    137,583.56x = 211,501.13 × 211,501.13
  4. Step 4: Simplify right side
    137,583.56x = 44,732,725,876.27
  5. Step 5: Solve for x
    x = 44,732,725,876.27/137,583.56
  6. Step 6: Final answer
    x = 325,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.