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Finding the Third Proportional to 60,213 and 124,071

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Solution

The third proportional to 60,213 and 124,071 is: 255,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,213 : 124,071 = 124,071 : x
  2. Step 2: Convert to fraction form
    60,213/124,071 = 124,071/x
  3. Step 3: Cross multiply
    60,213x = 124,071 × 124,071
  4. Step 4: Simplify right side
    60,213x = 15,393,613,041
  5. Step 5: Solve for x
    x = 15,393,613,041/60,213
  6. Step 6: Final answer
    x = 255,652.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.