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Finding the Third Proportional to 44,128 and 67,346

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Solution

The third proportional to 44,128 and 67,346 is: 102,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,128 : 67,346 = 67,346 : x
  2. Step 2: Convert to fraction form
    44,128/67,346 = 67,346/x
  3. Step 3: Cross multiply
    44,128x = 67,346 × 67,346
  4. Step 4: Simplify right side
    44,128x = 4,535,483,716
  5. Step 5: Solve for x
    x = 4,535,483,716/44,128
  6. Step 6: Final answer
    x = 102,780.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.