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Finding the Third Proportional to 49,916.25 and 75,397.50

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Solution

The third proportional to 49,916.25 and 75,397.50 is: 113,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,916.25 : 75,397.50 = 75,397.50 : x
  2. Step 2: Convert to fraction form
    49,916.25/75,397.50 = 75,397.50/x
  3. Step 3: Cross multiply
    49,916.25x = 75,397.50 × 75,397.50
  4. Step 4: Simplify right side
    49,916.25x = 5,684,783,006.25
  5. Step 5: Solve for x
    x = 5,684,783,006.25/49,916.25
  6. Step 6: Final answer
    x = 113,886.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.