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Finding the Third Proportional to 75,460.50 and 163,224

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Solution

The third proportional to 75,460.50 and 163,224 is: 353,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460.50 : 163,224 = 163,224 : x
  2. Step 2: Convert to fraction form
    75,460.50/163,224 = 163,224/x
  3. Step 3: Cross multiply
    75,460.50x = 163,224 × 163,224
  4. Step 4: Simplify right side
    75,460.50x = 26,642,074,176
  5. Step 5: Solve for x
    x = 26,642,074,176/75,460.50
  6. Step 6: Final answer
    x = 353,059.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.