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Finding the Third Proportional to 119,148 and 178,594

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Solution

The third proportional to 119,148 and 178,594 is: 267,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,148 : 178,594 = 178,594 : x
  2. Step 2: Convert to fraction form
    119,148/178,594 = 178,594/x
  3. Step 3: Cross multiply
    119,148x = 178,594 × 178,594
  4. Step 4: Simplify right side
    119,148x = 31,895,816,836
  5. Step 5: Solve for x
    x = 31,895,816,836/119,148
  6. Step 6: Final answer
    x = 267,699.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.