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Finding the Third Proportional to 59,547 and 119,094

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Solution

The third proportional to 59,547 and 119,094 is: 238,188

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,547 : 119,094 = 119,094 : x
  2. Step 2: Convert to fraction form
    59,547/119,094 = 119,094/x
  3. Step 3: Cross multiply
    59,547x = 119,094 × 119,094
  4. Step 4: Simplify right side
    59,547x = 14,183,380,836
  5. Step 5: Solve for x
    x = 14,183,380,836/59,547
  6. Step 6: Final answer
    x = 238,188

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.