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Finding the Third Proportional to 50,428 and 110,089

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Solution

The third proportional to 50,428 and 110,089 is: 240,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,428 : 110,089 = 110,089 : x
  2. Step 2: Convert to fraction form
    50,428/110,089 = 110,089/x
  3. Step 3: Cross multiply
    50,428x = 110,089 × 110,089
  4. Step 4: Simplify right side
    50,428x = 12,119,587,921
  5. Step 5: Solve for x
    x = 12,119,587,921/50,428
  6. Step 6: Final answer
    x = 240,334.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.