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Finding the Third Proportional to 58,236 and 124,782

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Solution

The third proportional to 58,236 and 124,782 is: 267,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,236 : 124,782 = 124,782 : x
  2. Step 2: Convert to fraction form
    58,236/124,782 = 124,782/x
  3. Step 3: Cross multiply
    58,236x = 124,782 × 124,782
  4. Step 4: Simplify right side
    58,236x = 15,570,547,524
  5. Step 5: Solve for x
    x = 15,570,547,524/58,236
  6. Step 6: Final answer
    x = 267,369.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.