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Finding the Third Proportional to 76,266 and 115,384.50

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Solution

The third proportional to 76,266 and 115,384.50 is: 174,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,266 : 115,384.50 = 115,384.50 : x
  2. Step 2: Convert to fraction form
    76,266/115,384.50 = 115,384.50/x
  3. Step 3: Cross multiply
    76,266x = 115,384.50 × 115,384.50
  4. Step 4: Simplify right side
    76,266x = 13,313,582,840.25
  5. Step 5: Solve for x
    x = 13,313,582,840.25/76,266
  6. Step 6: Final answer
    x = 174,567.73

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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.