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Finding the Third Proportional to 69,417 and 100,210.50

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Solution

The third proportional to 69,417 and 100,210.50 is: 144,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,417 : 100,210.50 = 100,210.50 : x
  2. Step 2: Convert to fraction form
    69,417/100,210.50 = 100,210.50/x
  3. Step 3: Cross multiply
    69,417x = 100,210.50 × 100,210.50
  4. Step 4: Simplify right side
    69,417x = 10,042,144,310.25
  5. Step 5: Solve for x
    x = 10,042,144,310.25/69,417
  6. Step 6: Final answer
    x = 144,664.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.