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Finding the Third Proportional to 45,390 and 69,045

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Solution

The third proportional to 45,390 and 69,045 is: 105,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,390 : 69,045 = 69,045 : x
  2. Step 2: Convert to fraction form
    45,390/69,045 = 69,045/x
  3. Step 3: Cross multiply
    45,390x = 69,045 × 69,045
  4. Step 4: Simplify right side
    45,390x = 4,767,212,025
  5. Step 5: Solve for x
    x = 4,767,212,025/45,390
  6. Step 6: Final answer
    x = 105,027.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.