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Finding the Third Proportional to 119,161.13 and 175,091.63

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Solution

The third proportional to 119,161.13 and 175,091.63 is: 257,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,161.13 : 175,091.63 = 175,091.63 : x
  2. Step 2: Convert to fraction form
    119,161.13/175,091.63 = 175,091.63/x
  3. Step 3: Cross multiply
    119,161.13x = 175,091.63 × 175,091.63
  4. Step 4: Simplify right side
    119,161.13x = 30,657,077,145.14
  5. Step 5: Solve for x
    x = 30,657,077,145.14/119,161.13
  6. Step 6: Final answer
    x = 257,274.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.