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Finding the Third Proportional to 51,777 and 112,017

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Solution

The third proportional to 51,777 and 112,017 is: 242,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777 : 112,017 = 112,017 : x
  2. Step 2: Convert to fraction form
    51,777/112,017 = 112,017/x
  3. Step 3: Cross multiply
    51,777x = 112,017 × 112,017
  4. Step 4: Simplify right side
    51,777x = 12,547,808,289
  5. Step 5: Solve for x
    x = 12,547,808,289/51,777
  6. Step 6: Final answer
    x = 242,343.29

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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.