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Finding the Third Proportional to 122,698.13 and 259,543.13

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Solution

The third proportional to 122,698.13 and 259,543.13 is: 549,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,698.13 : 259,543.13 = 259,543.13 : x
  2. Step 2: Convert to fraction form
    122,698.13/259,543.13 = 259,543.13/x
  3. Step 3: Cross multiply
    122,698.13x = 259,543.13 × 259,543.13
  4. Step 4: Simplify right side
    122,698.13x = 67,362,633,734.77
  5. Step 5: Solve for x
    x = 67,362,633,734.77/122,698.13
  6. Step 6: Final answer
    x = 549,011.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.