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Finding the Third Proportional to 65,547 and 140,652

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Solution

The third proportional to 65,547 and 140,652 is: 301,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,547 : 140,652 = 140,652 : x
  2. Step 2: Convert to fraction form
    65,547/140,652 = 140,652/x
  3. Step 3: Cross multiply
    65,547x = 140,652 × 140,652
  4. Step 4: Simplify right side
    65,547x = 19,782,985,104
  5. Step 5: Solve for x
    x = 19,782,985,104/65,547
  6. Step 6: Final answer
    x = 301,813.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.