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Finding the Third Proportional to 65,071 and 142,076

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Solution

The third proportional to 65,071 and 142,076 is: 310,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,071 : 142,076 = 142,076 : x
  2. Step 2: Convert to fraction form
    65,071/142,076 = 142,076/x
  3. Step 3: Cross multiply
    65,071x = 142,076 × 142,076
  4. Step 4: Simplify right side
    65,071x = 20,185,589,776
  5. Step 5: Solve for x
    x = 20,185,589,776/65,071
  6. Step 6: Final answer
    x = 310,208.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.