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Finding the Third Proportional to 69,741 and 102,303

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Solution

The third proportional to 69,741 and 102,303 is: 150,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,741 : 102,303 = 102,303 : x
  2. Step 2: Convert to fraction form
    69,741/102,303 = 102,303/x
  3. Step 3: Cross multiply
    69,741x = 102,303 × 102,303
  4. Step 4: Simplify right side
    69,741x = 10,465,903,809
  5. Step 5: Solve for x
    x = 10,465,903,809/69,741
  6. Step 6: Final answer
    x = 150,068.16

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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.