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Finding the Third Proportional to 65,058 and 142,024

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Solution

The third proportional to 65,058 and 142,024 is: 310,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,058 : 142,024 = 142,024 : x
  2. Step 2: Convert to fraction form
    65,058/142,024 = 142,024/x
  3. Step 3: Cross multiply
    65,058x = 142,024 × 142,024
  4. Step 4: Simplify right side
    65,058x = 20,170,816,576
  5. Step 5: Solve for x
    x = 20,170,816,576/65,058
  6. Step 6: Final answer
    x = 310,043.60

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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.