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Finding the Third Proportional to 64,524 and 99,690

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Solution

The third proportional to 64,524 and 99,690 is: 154,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524 : 99,690 = 99,690 : x
  2. Step 2: Convert to fraction form
    64,524/99,690 = 99,690/x
  3. Step 3: Cross multiply
    64,524x = 99,690 × 99,690
  4. Step 4: Simplify right side
    64,524x = 9,938,096,100
  5. Step 5: Solve for x
    x = 9,938,096,100/64,524
  6. Step 6: Final answer
    x = 154,021.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.