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Finding the Third Proportional to 112,520 and 265,612

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Solution

The third proportional to 112,520 and 265,612 is: 626,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,520 : 265,612 = 265,612 : x
  2. Step 2: Convert to fraction form
    112,520/265,612 = 265,612/x
  3. Step 3: Cross multiply
    112,520x = 265,612 × 265,612
  4. Step 4: Simplify right side
    112,520x = 70,549,734,544
  5. Step 5: Solve for x
    x = 70,549,734,544/112,520
  6. Step 6: Final answer
    x = 626,997.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.