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Finding the Third Proportional to 99,423 and 150,582

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Solution

The third proportional to 99,423 and 150,582 is: 228,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,423 : 150,582 = 150,582 : x
  2. Step 2: Convert to fraction form
    99,423/150,582 = 150,582/x
  3. Step 3: Cross multiply
    99,423x = 150,582 × 150,582
  4. Step 4: Simplify right side
    99,423x = 22,674,938,724
  5. Step 5: Solve for x
    x = 22,674,938,724/99,423
  6. Step 6: Final answer
    x = 228,065.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.