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Finding the Third Proportional to 65,502 and 136,188

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Solution

The third proportional to 65,502 and 136,188 is: 283,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502 : 136,188 = 136,188 : x
  2. Step 2: Convert to fraction form
    65,502/136,188 = 136,188/x
  3. Step 3: Cross multiply
    65,502x = 136,188 × 136,188
  4. Step 4: Simplify right side
    65,502x = 18,547,171,344
  5. Step 5: Solve for x
    x = 18,547,171,344/65,502
  6. Step 6: Final answer
    x = 283,154.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.