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Finding the Third Proportional to 76,782.38 and 116,247.94

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Solution

The third proportional to 76,782.38 and 116,247.94 is: 175,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,782.38 : 116,247.94 = 116,247.94 : x
  2. Step 2: Convert to fraction form
    76,782.38/116,247.94 = 116,247.94/x
  3. Step 3: Cross multiply
    76,782.38x = 116,247.94 × 116,247.94
  4. Step 4: Simplify right side
    76,782.38x = 13,513,582,973.00
  5. Step 5: Solve for x
    x = 13,513,582,973.00/76,782.38
  6. Step 6: Final answer
    x = 175,998.50

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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.