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Finding the Third Proportional to 76,046 and 110,148

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Solution

The third proportional to 76,046 and 110,148 is: 159,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046 : 110,148 = 110,148 : x
  2. Step 2: Convert to fraction form
    76,046/110,148 = 110,148/x
  3. Step 3: Cross multiply
    76,046x = 110,148 × 110,148
  4. Step 4: Simplify right side
    76,046x = 12,132,581,904
  5. Step 5: Solve for x
    x = 12,132,581,904/76,046
  6. Step 6: Final answer
    x = 159,542.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.