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Finding the Third Proportional to 50,724 and 108,482.63

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Solution

The third proportional to 50,724 and 108,482.63 is: 232,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,724 : 108,482.63 = 108,482.63 : x
  2. Step 2: Convert to fraction form
    50,724/108,482.63 = 108,482.63/x
  3. Step 3: Cross multiply
    50,724x = 108,482.63 × 108,482.63
  4. Step 4: Simplify right side
    50,724x = 11,768,479,926.89
  5. Step 5: Solve for x
    x = 11,768,479,926.89/50,724
  6. Step 6: Final answer
    x = 232,010.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.