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Finding the Third Proportional to 52,640 and 83,340

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Solution

The third proportional to 52,640 and 83,340 is: 131,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,640 : 83,340 = 83,340 : x
  2. Step 2: Convert to fraction form
    52,640/83,340 = 83,340/x
  3. Step 3: Cross multiply
    52,640x = 83,340 × 83,340
  4. Step 4: Simplify right side
    52,640x = 6,945,555,600
  5. Step 5: Solve for x
    x = 6,945,555,600/52,640
  6. Step 6: Final answer
    x = 131,944.45

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.