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Finding the Third Proportional to 65,724 and 102,967

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Solution

The third proportional to 65,724 and 102,967 is: 161,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724 : 102,967 = 102,967 : x
  2. Step 2: Convert to fraction form
    65,724/102,967 = 102,967/x
  3. Step 3: Cross multiply
    65,724x = 102,967 × 102,967
  4. Step 4: Simplify right side
    65,724x = 10,602,203,089
  5. Step 5: Solve for x
    x = 10,602,203,089/65,724
  6. Step 6: Final answer
    x = 161,314.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.