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Finding the Third Proportional to 50,319 and 74,020.50

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Solution

The third proportional to 50,319 and 74,020.50 is: 108,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,319 : 74,020.50 = 74,020.50 : x
  2. Step 2: Convert to fraction form
    50,319/74,020.50 = 74,020.50/x
  3. Step 3: Cross multiply
    50,319x = 74,020.50 × 74,020.50
  4. Step 4: Simplify right side
    50,319x = 5,479,034,420.25
  5. Step 5: Solve for x
    x = 5,479,034,420.25/50,319
  6. Step 6: Final answer
    x = 108,886.00

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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.