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Finding the Third Proportional to 113,284 and 176,120

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Solution

The third proportional to 113,284 and 176,120 is: 273,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,284 : 176,120 = 176,120 : x
  2. Step 2: Convert to fraction form
    113,284/176,120 = 176,120/x
  3. Step 3: Cross multiply
    113,284x = 176,120 × 176,120
  4. Step 4: Simplify right side
    113,284x = 31,018,254,400
  5. Step 5: Solve for x
    x = 31,018,254,400/113,284
  6. Step 6: Final answer
    x = 273,809.67

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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.