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Finding the Third Proportional to 113,882.63 and 176,792.63

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Solution

The third proportional to 113,882.63 and 176,792.63 is: 274,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,882.63 : 176,792.63 = 176,792.63 : x
  2. Step 2: Convert to fraction form
    113,882.63/176,792.63 = 176,792.63/x
  3. Step 3: Cross multiply
    113,882.63x = 176,792.63 × 176,792.63
  4. Step 4: Simplify right side
    113,882.63x = 31,255,632,254.39
  5. Step 5: Solve for x
    x = 31,255,632,254.39/113,882.63
  6. Step 6: Final answer
    x = 274,454.79

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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.