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Finding the Third Proportional to 65,628 and 143,970

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Solution

The third proportional to 65,628 and 143,970 is: 315,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,628 : 143,970 = 143,970 : x
  2. Step 2: Convert to fraction form
    65,628/143,970 = 143,970/x
  3. Step 3: Cross multiply
    65,628x = 143,970 × 143,970
  4. Step 4: Simplify right side
    65,628x = 20,727,360,900
  5. Step 5: Solve for x
    x = 20,727,360,900/65,628
  6. Step 6: Final answer
    x = 315,831.06

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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.