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Finding the Third Proportional to 55,646 and 83,453

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Solution

The third proportional to 55,646 and 83,453 is: 125,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646 : 83,453 = 83,453 : x
  2. Step 2: Convert to fraction form
    55,646/83,453 = 83,453/x
  3. Step 3: Cross multiply
    55,646x = 83,453 × 83,453
  4. Step 4: Simplify right side
    55,646x = 6,964,403,209
  5. Step 5: Solve for x
    x = 6,964,403,209/55,646
  6. Step 6: Final answer
    x = 125,155.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.