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Finding the Third Proportional to 131,064 and 179,352

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Solution

The third proportional to 131,064 and 179,352 is: 245,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,064 : 179,352 = 179,352 : x
  2. Step 2: Convert to fraction form
    131,064/179,352 = 179,352/x
  3. Step 3: Cross multiply
    131,064x = 179,352 × 179,352
  4. Step 4: Simplify right side
    131,064x = 32,167,139,904
  5. Step 5: Solve for x
    x = 32,167,139,904/131,064
  6. Step 6: Final answer
    x = 245,430.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.