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Finding the Third Proportional to 65,854 and 145,944

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Solution

The third proportional to 65,854 and 145,944 is: 323,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,854 : 145,944 = 145,944 : x
  2. Step 2: Convert to fraction form
    65,854/145,944 = 145,944/x
  3. Step 3: Cross multiply
    65,854x = 145,944 × 145,944
  4. Step 4: Simplify right side
    65,854x = 21,299,651,136
  5. Step 5: Solve for x
    x = 21,299,651,136/65,854
  6. Step 6: Final answer
    x = 323,437.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.