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Finding the Third Proportional to 50,386.50 and 75,316

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Solution

The third proportional to 50,386.50 and 75,316 is: 112,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,386.50 : 75,316 = 75,316 : x
  2. Step 2: Convert to fraction form
    50,386.50/75,316 = 75,316/x
  3. Step 3: Cross multiply
    50,386.50x = 75,316 × 75,316
  4. Step 4: Simplify right side
    50,386.50x = 5,672,499,856
  5. Step 5: Solve for x
    x = 5,672,499,856/50,386.50
  6. Step 6: Final answer
    x = 112,579.76

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