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Finding the Third Proportional to 69,152 and 140,840

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Solution

The third proportional to 69,152 and 140,840 is: 286,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,152 : 140,840 = 140,840 : x
  2. Step 2: Convert to fraction form
    69,152/140,840 = 140,840/x
  3. Step 3: Cross multiply
    69,152x = 140,840 × 140,840
  4. Step 4: Simplify right side
    69,152x = 19,835,905,600
  5. Step 5: Solve for x
    x = 19,835,905,600/69,152
  6. Step 6: Final answer
    x = 286,845.00

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.