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Finding the Third Proportional to 105,117.75 and 162,840.38

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Solution

The third proportional to 105,117.75 and 162,840.38 is: 252,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117.75 : 162,840.38 = 162,840.38 : x
  2. Step 2: Convert to fraction form
    105,117.75/162,840.38 = 162,840.38/x
  3. Step 3: Cross multiply
    105,117.75x = 162,840.38 × 162,840.38
  4. Step 4: Simplify right side
    105,117.75x = 26,516,987,730.14
  5. Step 5: Solve for x
    x = 26,516,987,730.14/105,117.75
  6. Step 6: Final answer
    x = 252,259.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.