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Finding the Third Proportional to 124,128 and 265,754

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Solution

The third proportional to 124,128 and 265,754 is: 568,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,128 : 265,754 = 265,754 : x
  2. Step 2: Convert to fraction form
    124,128/265,754 = 265,754/x
  3. Step 3: Cross multiply
    124,128x = 265,754 × 265,754
  4. Step 4: Simplify right side
    124,128x = 70,625,188,516
  5. Step 5: Solve for x
    x = 70,625,188,516/124,128
  6. Step 6: Final answer
    x = 568,970.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.