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Finding the Third Proportional to 124,914 and 202,437

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Solution

The third proportional to 124,914 and 202,437 is: 328,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,914 : 202,437 = 202,437 : x
  2. Step 2: Convert to fraction form
    124,914/202,437 = 202,437/x
  3. Step 3: Cross multiply
    124,914x = 202,437 × 202,437
  4. Step 4: Simplify right side
    124,914x = 40,980,738,969
  5. Step 5: Solve for x
    x = 40,980,738,969/124,914
  6. Step 6: Final answer
    x = 328,071.63

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.