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Finding the Third Proportional to 65,917.55 and 108,307.76

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Solution

The third proportional to 65,917.55 and 108,307.76 is: 177,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,917.55 : 108,307.76 = 108,307.76 : x
  2. Step 2: Convert to fraction form
    65,917.55/108,307.76 = 108,307.76/x
  3. Step 3: Cross multiply
    65,917.55x = 108,307.76 × 108,307.76
  4. Step 4: Simplify right side
    65,917.55x = 11,730,570,402.37
  5. Step 5: Solve for x
    x = 11,730,570,402.37/65,917.55
  6. Step 6: Final answer
    x = 177,958.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.