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Finding the Third Proportional to 118,235 and 162,586

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Solution

The third proportional to 118,235 and 162,586 is: 223,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,235 : 162,586 = 162,586 : x
  2. Step 2: Convert to fraction form
    118,235/162,586 = 162,586/x
  3. Step 3: Cross multiply
    118,235x = 162,586 × 162,586
  4. Step 4: Simplify right side
    118,235x = 26,434,207,396
  5. Step 5: Solve for x
    x = 26,434,207,396/118,235
  6. Step 6: Final answer
    x = 223,573.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.