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Finding the Third Proportional to 45,254 and 59,509

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Solution

The third proportional to 45,254 and 59,509 is: 78,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,254 : 59,509 = 59,509 : x
  2. Step 2: Convert to fraction form
    45,254/59,509 = 59,509/x
  3. Step 3: Cross multiply
    45,254x = 59,509 × 59,509
  4. Step 4: Simplify right side
    45,254x = 3,541,321,081
  5. Step 5: Solve for x
    x = 3,541,321,081/45,254
  6. Step 6: Final answer
    x = 78,254.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.