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Finding the Third Proportional to 51,705 and 79,046

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Solution

The third proportional to 51,705 and 79,046 is: 120,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705 : 79,046 = 79,046 : x
  2. Step 2: Convert to fraction form
    51,705/79,046 = 79,046/x
  3. Step 3: Cross multiply
    51,705x = 79,046 × 79,046
  4. Step 4: Simplify right side
    51,705x = 6,248,270,116
  5. Step 5: Solve for x
    x = 6,248,270,116/51,705
  6. Step 6: Final answer
    x = 120,844.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.