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Finding the Third Proportional to 142,076 and 213,479

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Solution

The third proportional to 142,076 and 213,479 is: 320,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,076 : 213,479 = 213,479 : x
  2. Step 2: Convert to fraction form
    142,076/213,479 = 213,479/x
  3. Step 3: Cross multiply
    142,076x = 213,479 × 213,479
  4. Step 4: Simplify right side
    142,076x = 45,573,283,441
  5. Step 5: Solve for x
    x = 45,573,283,441/142,076
  6. Step 6: Final answer
    x = 320,766.94

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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.