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Finding the Third Proportional to 79,658 and 121,998

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Solution

The third proportional to 79,658 and 121,998 is: 186,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,658 : 121,998 = 121,998 : x
  2. Step 2: Convert to fraction form
    79,658/121,998 = 121,998/x
  3. Step 3: Cross multiply
    79,658x = 121,998 × 121,998
  4. Step 4: Simplify right side
    79,658x = 14,883,512,004
  5. Step 5: Solve for x
    x = 14,883,512,004/79,658
  6. Step 6: Final answer
    x = 186,842.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.