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Finding the Third Proportional to 76,492.69 and 164,048.63

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Solution

The third proportional to 76,492.69 and 164,048.63 is: 351,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.69 : 164,048.63 = 164,048.63 : x
  2. Step 2: Convert to fraction form
    76,492.69/164,048.63 = 164,048.63/x
  3. Step 3: Cross multiply
    76,492.69x = 164,048.63 × 164,048.63
  4. Step 4: Simplify right side
    76,492.69x = 26,911,951,364.39
  5. Step 5: Solve for x
    x = 26,911,951,364.39/76,492.69
  6. Step 6: Final answer
    x = 351,823.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.