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Finding the Third Proportional to 77,820.75 and 113,325.75

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Solution

The third proportional to 77,820.75 and 113,325.75 is: 165,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820.75 : 113,325.75 = 113,325.75 : x
  2. Step 2: Convert to fraction form
    77,820.75/113,325.75 = 113,325.75/x
  3. Step 3: Cross multiply
    77,820.75x = 113,325.75 × 113,325.75
  4. Step 4: Simplify right side
    77,820.75x = 12,842,725,613.06
  5. Step 5: Solve for x
    x = 12,842,725,613.06/77,820.75
  6. Step 6: Final answer
    x = 165,029.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.