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Finding the Third Proportional to 79,588 and 124,224

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Solution

The third proportional to 79,588 and 124,224 is: 193,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,588 : 124,224 = 124,224 : x
  2. Step 2: Convert to fraction form
    79,588/124,224 = 124,224/x
  3. Step 3: Cross multiply
    79,588x = 124,224 × 124,224
  4. Step 4: Simplify right side
    79,588x = 15,431,602,176
  5. Step 5: Solve for x
    x = 15,431,602,176/79,588
  6. Step 6: Final answer
    x = 193,893.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.