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Finding the Third Proportional to 77,946 and 168,501

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Solution

The third proportional to 77,946 and 168,501 is: 364,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946 : 168,501 = 168,501 : x
  2. Step 2: Convert to fraction form
    77,946/168,501 = 168,501/x
  3. Step 3: Cross multiply
    77,946x = 168,501 × 168,501
  4. Step 4: Simplify right side
    77,946x = 28,392,587,001
  5. Step 5: Solve for x
    x = 28,392,587,001/77,946
  6. Step 6: Final answer
    x = 364,259.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.