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Finding the Third Proportional to 64,262 and 136,300

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Solution

The third proportional to 64,262 and 136,300 is: 289,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,262 : 136,300 = 136,300 : x
  2. Step 2: Convert to fraction form
    64,262/136,300 = 136,300/x
  3. Step 3: Cross multiply
    64,262x = 136,300 × 136,300
  4. Step 4: Simplify right side
    64,262x = 18,577,690,000
  5. Step 5: Solve for x
    x = 18,577,690,000/64,262
  6. Step 6: Final answer
    x = 289,092.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.