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Finding the Third Proportional to 65,423 and 100,700

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Solution

The third proportional to 65,423 and 100,700 is: 154,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,423 : 100,700 = 100,700 : x
  2. Step 2: Convert to fraction form
    65,423/100,700 = 100,700/x
  3. Step 3: Cross multiply
    65,423x = 100,700 × 100,700
  4. Step 4: Simplify right side
    65,423x = 10,140,490,000
  5. Step 5: Solve for x
    x = 10,140,490,000/65,423
  6. Step 6: Final answer
    x = 154,998.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.