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Finding the Third Proportional to 64,870 and 100,477

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Solution

The third proportional to 64,870 and 100,477 is: 155,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,870 : 100,477 = 100,477 : x
  2. Step 2: Convert to fraction form
    64,870/100,477 = 100,477/x
  3. Step 3: Cross multiply
    64,870x = 100,477 × 100,477
  4. Step 4: Simplify right side
    64,870x = 10,095,627,529
  5. Step 5: Solve for x
    x = 10,095,627,529/64,870
  6. Step 6: Final answer
    x = 155,628.60

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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.