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Finding the Third Proportional to 76,946.63 and 115,111.13

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Solution

The third proportional to 76,946.63 and 115,111.13 is: 172,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946.63 : 115,111.13 = 115,111.13 : x
  2. Step 2: Convert to fraction form
    76,946.63/115,111.13 = 115,111.13/x
  3. Step 3: Cross multiply
    76,946.63x = 115,111.13 × 115,111.13
  4. Step 4: Simplify right side
    76,946.63x = 13,250,571,098.77
  5. Step 5: Solve for x
    x = 13,250,571,098.77/76,946.63
  6. Step 6: Final answer
    x = 172,204.71

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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.