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Finding the Third Proportional to 113,627.81 and 172,800.84

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Solution

The third proportional to 113,627.81 and 172,800.84 is: 262,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,627.81 : 172,800.84 = 172,800.84 : x
  2. Step 2: Convert to fraction form
    113,627.81/172,800.84 = 172,800.84/x
  3. Step 3: Cross multiply
    113,627.81x = 172,800.84 × 172,800.84
  4. Step 4: Simplify right side
    113,627.81x = 29,860,131,600.71
  5. Step 5: Solve for x
    x = 29,860,131,600.71/113,627.81
  6. Step 6: Final answer
    x = 262,788.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.