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Finding the Third Proportional to 44,312 and 73,852

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Solution

The third proportional to 44,312 and 73,852 is: 123,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,312 : 73,852 = 73,852 : x
  2. Step 2: Convert to fraction form
    44,312/73,852 = 73,852/x
  3. Step 3: Cross multiply
    44,312x = 73,852 × 73,852
  4. Step 4: Simplify right side
    44,312x = 5,454,117,904
  5. Step 5: Solve for x
    x = 5,454,117,904/44,312
  6. Step 6: Final answer
    x = 123,084.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.