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Finding the Third Proportional to 46,294.50 and 69,136.69

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Solution

The third proportional to 46,294.50 and 69,136.69 is: 103,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294.50 : 69,136.69 = 69,136.69 : x
  2. Step 2: Convert to fraction form
    46,294.50/69,136.69 = 69,136.69/x
  3. Step 3: Cross multiply
    46,294.50x = 69,136.69 × 69,136.69
  4. Step 4: Simplify right side
    46,294.50x = 4,779,881,558.47
  5. Step 5: Solve for x
    x = 4,779,881,558.47/46,294.50
  6. Step 6: Final answer
    x = 103,249.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.