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Finding the Third Proportional to 45,410 and 75,043

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Solution

The third proportional to 45,410 and 75,043 is: 124,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,410 : 75,043 = 75,043 : x
  2. Step 2: Convert to fraction form
    45,410/75,043 = 75,043/x
  3. Step 3: Cross multiply
    45,410x = 75,043 × 75,043
  4. Step 4: Simplify right side
    45,410x = 5,631,451,849
  5. Step 5: Solve for x
    x = 5,631,451,849/45,410
  6. Step 6: Final answer
    x = 124,013.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.