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Finding the Third Proportional to 73,176 and 112,968

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Solution

The third proportional to 73,176 and 112,968 is: 174,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176 : 112,968 = 112,968 : x
  2. Step 2: Convert to fraction form
    73,176/112,968 = 112,968/x
  3. Step 3: Cross multiply
    73,176x = 112,968 × 112,968
  4. Step 4: Simplify right side
    73,176x = 12,761,769,024
  5. Step 5: Solve for x
    x = 12,761,769,024/73,176
  6. Step 6: Final answer
    x = 174,398.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.