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Finding the Third Proportional to 62,762 and 138,160

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Solution

The third proportional to 62,762 and 138,160 is: 304,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,762 : 138,160 = 138,160 : x
  2. Step 2: Convert to fraction form
    62,762/138,160 = 138,160/x
  3. Step 3: Cross multiply
    62,762x = 138,160 × 138,160
  4. Step 4: Simplify right side
    62,762x = 19,088,185,600
  5. Step 5: Solve for x
    x = 19,088,185,600/62,762
  6. Step 6: Final answer
    x = 304,136.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.