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Finding the Third Proportional to 60,129 and 93,467.25

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Solution

The third proportional to 60,129 and 93,467.25 is: 145,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,129 : 93,467.25 = 93,467.25 : x
  2. Step 2: Convert to fraction form
    60,129/93,467.25 = 93,467.25/x
  3. Step 3: Cross multiply
    60,129x = 93,467.25 × 93,467.25
  4. Step 4: Simplify right side
    60,129x = 8,736,126,822.56
  5. Step 5: Solve for x
    x = 8,736,126,822.56/60,129
  6. Step 6: Final answer
    x = 145,289.74

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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.