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Finding the Third Proportional to 112,549.50 and 174,210.75

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Solution

The third proportional to 112,549.50 and 174,210.75 is: 269,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,549.50 : 174,210.75 = 174,210.75 : x
  2. Step 2: Convert to fraction form
    112,549.50/174,210.75 = 174,210.75/x
  3. Step 3: Cross multiply
    112,549.50x = 174,210.75 × 174,210.75
  4. Step 4: Simplify right side
    112,549.50x = 30,349,385,415.56
  5. Step 5: Solve for x
    x = 30,349,385,415.56/112,549.50
  6. Step 6: Final answer
    x = 269,653.67

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Why These Related Problems?

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