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Finding the Third Proportional to 46,136.25 and 71,280

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Solution

The third proportional to 46,136.25 and 71,280 is: 110,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,136.25 : 71,280 = 71,280 : x
  2. Step 2: Convert to fraction form
    46,136.25/71,280 = 71,280/x
  3. Step 3: Cross multiply
    46,136.25x = 71,280 × 71,280
  4. Step 4: Simplify right side
    46,136.25x = 5,080,838,400
  5. Step 5: Solve for x
    x = 5,080,838,400/46,136.25
  6. Step 6: Final answer
    x = 110,126.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.