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Finding the Third Proportional to 75,688 and 162,768

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Solution

The third proportional to 75,688 and 162,768 is: 350,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,688 : 162,768 = 162,768 : x
  2. Step 2: Convert to fraction form
    75,688/162,768 = 162,768/x
  3. Step 3: Cross multiply
    75,688x = 162,768 × 162,768
  4. Step 4: Simplify right side
    75,688x = 26,493,421,824
  5. Step 5: Solve for x
    x = 26,493,421,824/75,688
  6. Step 6: Final answer
    x = 350,034.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.