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Finding the Third Proportional to 66,583 and 144,254

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Solution

The third proportional to 66,583 and 144,254 is: 312,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,583 : 144,254 = 144,254 : x
  2. Step 2: Convert to fraction form
    66,583/144,254 = 144,254/x
  3. Step 3: Cross multiply
    66,583x = 144,254 × 144,254
  4. Step 4: Simplify right side
    66,583x = 20,809,216,516
  5. Step 5: Solve for x
    x = 20,809,216,516/66,583
  6. Step 6: Final answer
    x = 312,530.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.