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Finding the Third Proportional to 122,834 and 265,060

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Solution

The third proportional to 122,834 and 265,060 is: 571,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,834 : 265,060 = 265,060 : x
  2. Step 2: Convert to fraction form
    122,834/265,060 = 265,060/x
  3. Step 3: Cross multiply
    122,834x = 265,060 × 265,060
  4. Step 4: Simplify right side
    122,834x = 70,256,803,600
  5. Step 5: Solve for x
    x = 70,256,803,600/122,834
  6. Step 6: Final answer
    x = 571,965.45

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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.