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Finding the Third Proportional to 55,348 and 83,078

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Solution

The third proportional to 55,348 and 83,078 is: 124,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,348 : 83,078 = 83,078 : x
  2. Step 2: Convert to fraction form
    55,348/83,078 = 83,078/x
  3. Step 3: Cross multiply
    55,348x = 83,078 × 83,078
  4. Step 4: Simplify right side
    55,348x = 6,901,954,084
  5. Step 5: Solve for x
    x = 6,901,954,084/55,348
  6. Step 6: Final answer
    x = 124,701.06

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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.