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Finding the Third Proportional to 63,289.69 and 97,957.69

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Solution

The third proportional to 63,289.69 and 97,957.69 is: 151,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,289.69 : 97,957.69 = 97,957.69 : x
  2. Step 2: Convert to fraction form
    63,289.69/97,957.69 = 97,957.69/x
  3. Step 3: Cross multiply
    63,289.69x = 97,957.69 × 97,957.69
  4. Step 4: Simplify right side
    63,289.69x = 9,595,708,540.35
  5. Step 5: Solve for x
    x = 9,595,708,540.35/63,289.69
  6. Step 6: Final answer
    x = 151,615.67

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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.