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Finding the Third Proportional to 107,235 and 232,122

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Solution

The third proportional to 107,235 and 232,122 is: 502,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,235 : 232,122 = 232,122 : x
  2. Step 2: Convert to fraction form
    107,235/232,122 = 232,122/x
  3. Step 3: Cross multiply
    107,235x = 232,122 × 232,122
  4. Step 4: Simplify right side
    107,235x = 53,880,622,884
  5. Step 5: Solve for x
    x = 53,880,622,884/107,235
  6. Step 6: Final answer
    x = 502,453.70

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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.