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Finding the Third Proportional to 51,060 and 110,319

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Solution

The third proportional to 51,060 and 110,319 is: 238,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,060 : 110,319 = 110,319 : x
  2. Step 2: Convert to fraction form
    51,060/110,319 = 110,319/x
  3. Step 3: Cross multiply
    51,060x = 110,319 × 110,319
  4. Step 4: Simplify right side
    51,060x = 12,170,281,761
  5. Step 5: Solve for x
    x = 12,170,281,761/51,060
  6. Step 6: Final answer
    x = 238,352.56

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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.