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Finding the Third Proportional to 49,287 and 72,175.50

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Solution

The third proportional to 49,287 and 72,175.50 is: 105,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,287 : 72,175.50 = 72,175.50 : x
  2. Step 2: Convert to fraction form
    49,287/72,175.50 = 72,175.50/x
  3. Step 3: Cross multiply
    49,287x = 72,175.50 × 72,175.50
  4. Step 4: Simplify right side
    49,287x = 5,209,302,800.25
  5. Step 5: Solve for x
    x = 5,209,302,800.25/49,287
  6. Step 6: Final answer
    x = 105,693.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.