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Finding the Third Proportional to 76,220.63 and 113,225.63

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Solution

The third proportional to 76,220.63 and 113,225.63 is: 168,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,220.63 : 113,225.63 = 113,225.63 : x
  2. Step 2: Convert to fraction form
    76,220.63/113,225.63 = 113,225.63/x
  3. Step 3: Cross multiply
    76,220.63x = 113,225.63 × 113,225.63
  4. Step 4: Simplify right side
    76,220.63x = 12,820,042,156.64
  5. Step 5: Solve for x
    x = 12,820,042,156.64/76,220.63
  6. Step 6: Final answer
    x = 168,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.