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Finding the Third Proportional to 76,496.06 and 114,810.75

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Solution

The third proportional to 76,496.06 and 114,810.75 is: 172,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,496.06 : 114,810.75 = 114,810.75 : x
  2. Step 2: Convert to fraction form
    76,496.06/114,810.75 = 114,810.75/x
  3. Step 3: Cross multiply
    76,496.06x = 114,810.75 × 114,810.75
  4. Step 4: Simplify right side
    76,496.06x = 13,181,508,315.56
  5. Step 5: Solve for x
    x = 13,181,508,315.56/76,496.06
  6. Step 6: Final answer
    x = 172,316.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.