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Finding the Third Proportional to 66,970 and 144,300

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Solution

The third proportional to 66,970 and 144,300 is: 310,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,970 : 144,300 = 144,300 : x
  2. Step 2: Convert to fraction form
    66,970/144,300 = 144,300/x
  3. Step 3: Cross multiply
    66,970x = 144,300 × 144,300
  4. Step 4: Simplify right side
    66,970x = 20,822,490,000
  5. Step 5: Solve for x
    x = 20,822,490,000/66,970
  6. Step 6: Final answer
    x = 310,922.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.