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Finding the Third Proportional to 46,919 and 69,136

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Solution

The third proportional to 46,919 and 69,136 is: 101,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,919 : 69,136 = 69,136 : x
  2. Step 2: Convert to fraction form
    46,919/69,136 = 69,136/x
  3. Step 3: Cross multiply
    46,919x = 69,136 × 69,136
  4. Step 4: Simplify right side
    46,919x = 4,779,786,496
  5. Step 5: Solve for x
    x = 4,779,786,496/46,919
  6. Step 6: Final answer
    x = 101,873.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.