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Finding the Third Proportional to 47,664 and 70,119

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Solution

The third proportional to 47,664 and 70,119 is: 103,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 70,119 = 70,119 : x
  2. Step 2: Convert to fraction form
    47,664/70,119 = 70,119/x
  3. Step 3: Cross multiply
    47,664x = 70,119 × 70,119
  4. Step 4: Simplify right side
    47,664x = 4,916,674,161
  5. Step 5: Solve for x
    x = 4,916,674,161/47,664
  6. Step 6: Final answer
    x = 103,152.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.