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Finding the Third Proportional to 46,122 and 70,521

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Solution

The third proportional to 46,122 and 70,521 is: 107,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,122 : 70,521 = 70,521 : x
  2. Step 2: Convert to fraction form
    46,122/70,521 = 70,521/x
  3. Step 3: Cross multiply
    46,122x = 70,521 × 70,521
  4. Step 4: Simplify right side
    46,122x = 4,973,211,441
  5. Step 5: Solve for x
    x = 4,973,211,441/46,122
  6. Step 6: Final answer
    x = 107,827.32

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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.