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Finding the Third Proportional to 52,426 and 78,927

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Solution

The third proportional to 52,426 and 78,927 is: 118,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426 : 78,927 = 78,927 : x
  2. Step 2: Convert to fraction form
    52,426/78,927 = 78,927/x
  3. Step 3: Cross multiply
    52,426x = 78,927 × 78,927
  4. Step 4: Simplify right side
    52,426x = 6,229,471,329
  5. Step 5: Solve for x
    x = 6,229,471,329/52,426
  6. Step 6: Final answer
    x = 118,824.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.