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Finding the Third Proportional to 77,932 and 182,518

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Solution

The third proportional to 77,932 and 182,518 is: 427,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,932 : 182,518 = 182,518 : x
  2. Step 2: Convert to fraction form
    77,932/182,518 = 182,518/x
  3. Step 3: Cross multiply
    77,932x = 182,518 × 182,518
  4. Step 4: Simplify right side
    77,932x = 33,312,820,324
  5. Step 5: Solve for x
    x = 33,312,820,324/77,932
  6. Step 6: Final answer
    x = 427,460.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.