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Finding the Third Proportional to 56,621 and 84,922

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Solution

The third proportional to 56,621 and 84,922 is: 127,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,621 : 84,922 = 84,922 : x
  2. Step 2: Convert to fraction form
    56,621/84,922 = 84,922/x
  3. Step 3: Cross multiply
    56,621x = 84,922 × 84,922
  4. Step 4: Simplify right side
    56,621x = 7,211,746,084
  5. Step 5: Solve for x
    x = 7,211,746,084/56,621
  6. Step 6: Final answer
    x = 127,368.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.