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Finding the Third Proportional to 112,266.84 and 174,312.84

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Solution

The third proportional to 112,266.84 and 174,312.84 is: 270,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,266.84 : 174,312.84 = 174,312.84 : x
  2. Step 2: Convert to fraction form
    112,266.84/174,312.84 = 174,312.84/x
  3. Step 3: Cross multiply
    112,266.84x = 174,312.84 × 174,312.84
  4. Step 4: Simplify right side
    112,266.84x = 30,384,967,496.21
  5. Step 5: Solve for x
    x = 30,384,967,496.21/112,266.84
  6. Step 6: Final answer
    x = 270,649.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.