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Finding the Third Proportional to 119,820 and 187,946

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Solution

The third proportional to 119,820 and 187,946 is: 294,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,820 : 187,946 = 187,946 : x
  2. Step 2: Convert to fraction form
    119,820/187,946 = 187,946/x
  3. Step 3: Cross multiply
    119,820x = 187,946 × 187,946
  4. Step 4: Simplify right side
    119,820x = 35,323,698,916
  5. Step 5: Solve for x
    x = 35,323,698,916/119,820
  6. Step 6: Final answer
    x = 294,806.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.