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Finding the Third Proportional to 61,176.75 and 107,341.50

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Solution

The third proportional to 61,176.75 and 107,341.50 is: 188,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176.75 : 107,341.50 = 107,341.50 : x
  2. Step 2: Convert to fraction form
    61,176.75/107,341.50 = 107,341.50/x
  3. Step 3: Cross multiply
    61,176.75x = 107,341.50 × 107,341.50
  4. Step 4: Simplify right side
    61,176.75x = 11,522,197,622.25
  5. Step 5: Solve for x
    x = 11,522,197,622.25/61,176.75
  6. Step 6: Final answer
    x = 188,342.75

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.