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Finding the Third Proportional to 63,421.50 and 97,516.50

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Solution

The third proportional to 63,421.50 and 97,516.50 is: 149,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,421.50 : 97,516.50 = 97,516.50 : x
  2. Step 2: Convert to fraction form
    63,421.50/97,516.50 = 97,516.50/x
  3. Step 3: Cross multiply
    63,421.50x = 97,516.50 × 97,516.50
  4. Step 4: Simplify right side
    63,421.50x = 9,509,467,772.25
  5. Step 5: Solve for x
    x = 9,509,467,772.25/63,421.50
  6. Step 6: Final answer
    x = 149,940.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.