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Finding the Third Proportional to 50,875.50 and 74,841

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Solution

The third proportional to 50,875.50 and 74,841 is: 110,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,875.50 : 74,841 = 74,841 : x
  2. Step 2: Convert to fraction form
    50,875.50/74,841 = 74,841/x
  3. Step 3: Cross multiply
    50,875.50x = 74,841 × 74,841
  4. Step 4: Simplify right side
    50,875.50x = 5,601,175,281
  5. Step 5: Solve for x
    x = 5,601,175,281/50,875.50
  6. Step 6: Final answer
    x = 110,095.73

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