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Finding the Third Proportional to 128,978 and 144,971

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Solution

The third proportional to 128,978 and 144,971 is: 162,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,978 : 144,971 = 144,971 : x
  2. Step 2: Convert to fraction form
    128,978/144,971 = 144,971/x
  3. Step 3: Cross multiply
    128,978x = 144,971 × 144,971
  4. Step 4: Simplify right side
    128,978x = 21,016,590,841
  5. Step 5: Solve for x
    x = 21,016,590,841/128,978
  6. Step 6: Final answer
    x = 162,947.10

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.