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Finding the Third Proportional to 124,603 and 265,516

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Solution

The third proportional to 124,603 and 265,516 is: 565,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,603 : 265,516 = 265,516 : x
  2. Step 2: Convert to fraction form
    124,603/265,516 = 265,516/x
  3. Step 3: Cross multiply
    124,603x = 265,516 × 265,516
  4. Step 4: Simplify right side
    124,603x = 70,498,746,256
  5. Step 5: Solve for x
    x = 70,498,746,256/124,603
  6. Step 6: Final answer
    x = 565,786.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.