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Finding the Third Proportional to 58,215 and 125,702

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Solution

The third proportional to 58,215 and 125,702 is: 271,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,215 : 125,702 = 125,702 : x
  2. Step 2: Convert to fraction form
    58,215/125,702 = 125,702/x
  3. Step 3: Cross multiply
    58,215x = 125,702 × 125,702
  4. Step 4: Simplify right side
    58,215x = 15,800,992,804
  5. Step 5: Solve for x
    x = 15,800,992,804/58,215
  6. Step 6: Final answer
    x = 271,424.77

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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.