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Finding the Third Proportional to 72,250 and 174,046

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Solution

The third proportional to 72,250 and 174,046 is: 419,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,250 : 174,046 = 174,046 : x
  2. Step 2: Convert to fraction form
    72,250/174,046 = 174,046/x
  3. Step 3: Cross multiply
    72,250x = 174,046 × 174,046
  4. Step 4: Simplify right side
    72,250x = 30,292,010,116
  5. Step 5: Solve for x
    x = 30,292,010,116/72,250
  6. Step 6: Final answer
    x = 419,266.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.