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Finding the Third Proportional to 65,656 and 144,030

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Solution

The third proportional to 65,656 and 144,030 is: 315,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656 : 144,030 = 144,030 : x
  2. Step 2: Convert to fraction form
    65,656/144,030 = 144,030/x
  3. Step 3: Cross multiply
    65,656x = 144,030 × 144,030
  4. Step 4: Simplify right side
    65,656x = 20,744,640,900
  5. Step 5: Solve for x
    x = 20,744,640,900/65,656
  6. Step 6: Final answer
    x = 315,959.56

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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.