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Finding the Third Proportional to 45,235 and 96,482

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Solution

The third proportional to 45,235 and 96,482 is: 205,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,235 : 96,482 = 96,482 : x
  2. Step 2: Convert to fraction form
    45,235/96,482 = 96,482/x
  3. Step 3: Cross multiply
    45,235x = 96,482 × 96,482
  4. Step 4: Simplify right side
    45,235x = 9,308,776,324
  5. Step 5: Solve for x
    x = 9,308,776,324/45,235
  6. Step 6: Final answer
    x = 205,787.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.