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Finding the Third Proportional to 76,335 and 115,338

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Solution

The third proportional to 76,335 and 115,338 is: 174,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,335 : 115,338 = 115,338 : x
  2. Step 2: Convert to fraction form
    76,335/115,338 = 115,338/x
  3. Step 3: Cross multiply
    76,335x = 115,338 × 115,338
  4. Step 4: Simplify right side
    76,335x = 13,302,854,244
  5. Step 5: Solve for x
    x = 13,302,854,244/76,335
  6. Step 6: Final answer
    x = 174,269.39

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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.