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Finding the Third Proportional to 76,532 and 162,154

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Solution

The third proportional to 76,532 and 162,154 is: 343,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,532 : 162,154 = 162,154 : x
  2. Step 2: Convert to fraction form
    76,532/162,154 = 162,154/x
  3. Step 3: Cross multiply
    76,532x = 162,154 × 162,154
  4. Step 4: Simplify right side
    76,532x = 26,293,919,716
  5. Step 5: Solve for x
    x = 26,293,919,716/76,532
  6. Step 6: Final answer
    x = 343,567.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.