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Finding the Third Proportional to 122,333.63 and 172,270.13

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Solution

The third proportional to 122,333.63 and 172,270.13 is: 242,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,333.63 : 172,270.13 = 172,270.13 : x
  2. Step 2: Convert to fraction form
    122,333.63/172,270.13 = 172,270.13/x
  3. Step 3: Cross multiply
    122,333.63x = 172,270.13 × 172,270.13
  4. Step 4: Simplify right side
    122,333.63x = 29,676,995,967.52
  5. Step 5: Solve for x
    x = 29,676,995,967.52/122,333.63
  6. Step 6: Final answer
    x = 242,590.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.