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Finding the Third Proportional to 121,424.06 and 190,071.56

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Solution

The third proportional to 121,424.06 and 190,071.56 is: 297,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,424.06 : 190,071.56 = 190,071.56 : x
  2. Step 2: Convert to fraction form
    121,424.06/190,071.56 = 190,071.56/x
  3. Step 3: Cross multiply
    121,424.06x = 190,071.56 × 190,071.56
  4. Step 4: Simplify right side
    121,424.06x = 36,127,198,871.19
  5. Step 5: Solve for x
    x = 36,127,198,871.19/121,424.06
  6. Step 6: Final answer
    x = 297,529.16

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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.