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Finding the Third Proportional to 137,106 and 300,942

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Solution

The third proportional to 137,106 and 300,942 is: 660,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,106 : 300,942 = 300,942 : x
  2. Step 2: Convert to fraction form
    137,106/300,942 = 300,942/x
  3. Step 3: Cross multiply
    137,106x = 300,942 × 300,942
  4. Step 4: Simplify right side
    137,106x = 90,566,087,364
  5. Step 5: Solve for x
    x = 90,566,087,364/137,106
  6. Step 6: Final answer
    x = 660,555.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.