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Finding the Third Proportional to 76,430 and 110,089

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Solution

The third proportional to 76,430 and 110,089 is: 158,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430 : 110,089 = 110,089 : x
  2. Step 2: Convert to fraction form
    76,430/110,089 = 110,089/x
  3. Step 3: Cross multiply
    76,430x = 110,089 × 110,089
  4. Step 4: Simplify right side
    76,430x = 12,119,587,921
  5. Step 5: Solve for x
    x = 12,119,587,921/76,430
  6. Step 6: Final answer
    x = 158,571.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.