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Finding the Third Proportional to 117,064 and 181,596

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Solution

The third proportional to 117,064 and 181,596 is: 281,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,064 : 181,596 = 181,596 : x
  2. Step 2: Convert to fraction form
    117,064/181,596 = 181,596/x
  3. Step 3: Cross multiply
    117,064x = 181,596 × 181,596
  4. Step 4: Simplify right side
    117,064x = 32,977,107,216
  5. Step 5: Solve for x
    x = 32,977,107,216/117,064
  6. Step 6: Final answer
    x = 281,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.