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Finding the Third Proportional to 118,725 and 259,619

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Solution

The third proportional to 118,725 and 259,619 is: 567,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,725 : 259,619 = 259,619 : x
  2. Step 2: Convert to fraction form
    118,725/259,619 = 259,619/x
  3. Step 3: Cross multiply
    118,725x = 259,619 × 259,619
  4. Step 4: Simplify right side
    118,725x = 67,402,025,161
  5. Step 5: Solve for x
    x = 67,402,025,161/118,725
  6. Step 6: Final answer
    x = 567,715.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.