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Finding the Third Proportional to 64,502 and 99,671

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Solution

The third proportional to 64,502 and 99,671 is: 154,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,502 : 99,671 = 99,671 : x
  2. Step 2: Convert to fraction form
    64,502/99,671 = 99,671/x
  3. Step 3: Cross multiply
    64,502x = 99,671 × 99,671
  4. Step 4: Simplify right side
    64,502x = 9,934,308,241
  5. Step 5: Solve for x
    x = 9,934,308,241/64,502
  6. Step 6: Final answer
    x = 154,015.51

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Why These Related Problems?

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