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Finding the Third Proportional to 122,937 and 265,557

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Solution

The third proportional to 122,937 and 265,557 is: 573,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,937 : 265,557 = 265,557 : x
  2. Step 2: Convert to fraction form
    122,937/265,557 = 265,557/x
  3. Step 3: Cross multiply
    122,937x = 265,557 × 265,557
  4. Step 4: Simplify right side
    122,937x = 70,520,520,249
  5. Step 5: Solve for x
    x = 70,520,520,249/122,937
  6. Step 6: Final answer
    x = 573,631.37

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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.