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Finding the Third Proportional to 75,024 and 162,928

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Solution

The third proportional to 75,024 and 162,928 is: 353,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 162,928 = 162,928 : x
  2. Step 2: Convert to fraction form
    75,024/162,928 = 162,928/x
  3. Step 3: Cross multiply
    75,024x = 162,928 × 162,928
  4. Step 4: Simplify right side
    75,024x = 26,545,533,184
  5. Step 5: Solve for x
    x = 26,545,533,184/75,024
  6. Step 6: Final answer
    x = 353,827.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.