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Finding the Third Proportional to 124,020 and 185,676

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Solution

The third proportional to 124,020 and 185,676 is: 277,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,020 : 185,676 = 185,676 : x
  2. Step 2: Convert to fraction form
    124,020/185,676 = 185,676/x
  3. Step 3: Cross multiply
    124,020x = 185,676 × 185,676
  4. Step 4: Simplify right side
    124,020x = 34,475,576,976
  5. Step 5: Solve for x
    x = 34,475,576,976/124,020
  6. Step 6: Final answer
    x = 277,984.01

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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.