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Finding the Third Proportional to 123,148 and 265,736

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Solution

The third proportional to 123,148 and 265,736 is: 573,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,148 : 265,736 = 265,736 : x
  2. Step 2: Convert to fraction form
    123,148/265,736 = 265,736/x
  3. Step 3: Cross multiply
    123,148x = 265,736 × 265,736
  4. Step 4: Simplify right side
    123,148x = 70,615,621,696
  5. Step 5: Solve for x
    x = 70,615,621,696/123,148
  6. Step 6: Final answer
    x = 573,420.78

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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.