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Finding the Third Proportional to 45,730 and 69,405

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Solution

The third proportional to 45,730 and 69,405 is: 105,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730 : 69,405 = 69,405 : x
  2. Step 2: Convert to fraction form
    45,730/69,405 = 69,405/x
  3. Step 3: Cross multiply
    45,730x = 69,405 × 69,405
  4. Step 4: Simplify right side
    45,730x = 4,817,054,025
  5. Step 5: Solve for x
    x = 4,817,054,025/45,730
  6. Step 6: Final answer
    x = 105,336.85

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