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Finding the Third Proportional to 64,445 and 141,971

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Solution

The third proportional to 64,445 and 141,971 is: 312,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,445 : 141,971 = 141,971 : x
  2. Step 2: Convert to fraction form
    64,445/141,971 = 141,971/x
  3. Step 3: Cross multiply
    64,445x = 141,971 × 141,971
  4. Step 4: Simplify right side
    64,445x = 20,155,764,841
  5. Step 5: Solve for x
    x = 20,155,764,841/64,445
  6. Step 6: Final answer
    x = 312,759.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.