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Finding the Third Proportional to 63,128.25 and 97,025.63

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Solution

The third proportional to 63,128.25 and 97,025.63 is: 149,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,128.25 : 97,025.63 = 97,025.63 : x
  2. Step 2: Convert to fraction form
    63,128.25/97,025.63 = 97,025.63/x
  3. Step 3: Cross multiply
    63,128.25x = 97,025.63 × 97,025.63
  4. Step 4: Simplify right side
    63,128.25x = 9,413,971,906.64
  5. Step 5: Solve for x
    x = 9,413,971,906.64/63,128.25
  6. Step 6: Final answer
    x = 149,124.55

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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.