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Finding the Third Proportional to 85,454 and 127,482

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Solution

The third proportional to 85,454 and 127,482 is: 190,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454 : 127,482 = 127,482 : x
  2. Step 2: Convert to fraction form
    85,454/127,482 = 127,482/x
  3. Step 3: Cross multiply
    85,454x = 127,482 × 127,482
  4. Step 4: Simplify right side
    85,454x = 16,251,660,324
  5. Step 5: Solve for x
    x = 16,251,660,324/85,454
  6. Step 6: Final answer
    x = 190,180.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.