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Finding the Third Proportional to 124,989 and 174,969

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Solution

The third proportional to 124,989 and 174,969 is: 244,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,989 : 174,969 = 174,969 : x
  2. Step 2: Convert to fraction form
    124,989/174,969 = 174,969/x
  3. Step 3: Cross multiply
    124,989x = 174,969 × 174,969
  4. Step 4: Simplify right side
    124,989x = 30,614,150,961
  5. Step 5: Solve for x
    x = 30,614,150,961/124,989
  6. Step 6: Final answer
    x = 244,934.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.