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Finding the Third Proportional to 55,947 and 84,735

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Solution

The third proportional to 55,947 and 84,735 is: 128,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,947 : 84,735 = 84,735 : x
  2. Step 2: Convert to fraction form
    55,947/84,735 = 84,735/x
  3. Step 3: Cross multiply
    55,947x = 84,735 × 84,735
  4. Step 4: Simplify right side
    55,947x = 7,180,020,225
  5. Step 5: Solve for x
    x = 7,180,020,225/55,947
  6. Step 6: Final answer
    x = 128,336.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.