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Finding the Third Proportional to 136,088 and 272,724

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Solution

The third proportional to 136,088 and 272,724 is: 546,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,088 : 272,724 = 272,724 : x
  2. Step 2: Convert to fraction form
    136,088/272,724 = 272,724/x
  3. Step 3: Cross multiply
    136,088x = 272,724 × 272,724
  4. Step 4: Simplify right side
    136,088x = 74,378,380,176
  5. Step 5: Solve for x
    x = 74,378,380,176/136,088
  6. Step 6: Final answer
    x = 546,546.21

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.