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Finding the Third Proportional to 69,106 and 103,664

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Solution

The third proportional to 69,106 and 103,664 is: 155,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106 : 103,664 = 103,664 : x
  2. Step 2: Convert to fraction form
    69,106/103,664 = 103,664/x
  3. Step 3: Cross multiply
    69,106x = 103,664 × 103,664
  4. Step 4: Simplify right side
    69,106x = 10,746,224,896
  5. Step 5: Solve for x
    x = 10,746,224,896/69,106
  6. Step 6: Final answer
    x = 155,503.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.