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Finding the Third Proportional to 34,028 and 72,176

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Solution

The third proportional to 34,028 and 72,176 is: 153,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,028 : 72,176 = 72,176 : x
  2. Step 2: Convert to fraction form
    34,028/72,176 = 72,176/x
  3. Step 3: Cross multiply
    34,028x = 72,176 × 72,176
  4. Step 4: Simplify right side
    34,028x = 5,209,374,976
  5. Step 5: Solve for x
    x = 5,209,374,976/34,028
  6. Step 6: Final answer
    x = 153,090.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.