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Finding the Third Proportional to 49,457 and 78,633

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Solution

The third proportional to 49,457 and 78,633 is: 125,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,457 : 78,633 = 78,633 : x
  2. Step 2: Convert to fraction form
    49,457/78,633 = 78,633/x
  3. Step 3: Cross multiply
    49,457x = 78,633 × 78,633
  4. Step 4: Simplify right side
    49,457x = 6,183,148,689
  5. Step 5: Solve for x
    x = 6,183,148,689/49,457
  6. Step 6: Final answer
    x = 125,020.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.