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Finding the Third Proportional to 76,152 and 163,644

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Solution

The third proportional to 76,152 and 163,644 is: 351,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152 : 163,644 = 163,644 : x
  2. Step 2: Convert to fraction form
    76,152/163,644 = 163,644/x
  3. Step 3: Cross multiply
    76,152x = 163,644 × 163,644
  4. Step 4: Simplify right side
    76,152x = 26,779,358,736
  5. Step 5: Solve for x
    x = 26,779,358,736/76,152
  6. Step 6: Final answer
    x = 351,656.67

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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.