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Finding the Third Proportional to 121,407 and 190,029.75

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Solution

The third proportional to 121,407 and 190,029.75 is: 297,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,407 : 190,029.75 = 190,029.75 : x
  2. Step 2: Convert to fraction form
    121,407/190,029.75 = 190,029.75/x
  3. Step 3: Cross multiply
    121,407x = 190,029.75 × 190,029.75
  4. Step 4: Simplify right side
    121,407x = 36,111,305,885.06
  5. Step 5: Solve for x
    x = 36,111,305,885.06/121,407
  6. Step 6: Final answer
    x = 297,440.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.