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Finding the Third Proportional to 51,842 and 113,428

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Solution

The third proportional to 51,842 and 113,428 is: 248,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842 : 113,428 = 113,428 : x
  2. Step 2: Convert to fraction form
    51,842/113,428 = 113,428/x
  3. Step 3: Cross multiply
    51,842x = 113,428 × 113,428
  4. Step 4: Simplify right side
    51,842x = 12,865,911,184
  5. Step 5: Solve for x
    x = 12,865,911,184/51,842
  6. Step 6: Final answer
    x = 248,175.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.