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Finding the Third Proportional to 64,507 and 99,677

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Solution

The third proportional to 64,507 and 99,677 is: 154,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,507 : 99,677 = 99,677 : x
  2. Step 2: Convert to fraction form
    64,507/99,677 = 99,677/x
  3. Step 3: Cross multiply
    64,507x = 99,677 × 99,677
  4. Step 4: Simplify right side
    64,507x = 9,935,504,329
  5. Step 5: Solve for x
    x = 9,935,504,329/64,507
  6. Step 6: Final answer
    x = 154,022.11

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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.