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Finding the Third Proportional to 74,125.50 and 163,014

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Solution

The third proportional to 74,125.50 and 163,014 is: 358,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,125.50 : 163,014 = 163,014 : x
  2. Step 2: Convert to fraction form
    74,125.50/163,014 = 163,014/x
  3. Step 3: Cross multiply
    74,125.50x = 163,014 × 163,014
  4. Step 4: Simplify right side
    74,125.50x = 26,573,564,196
  5. Step 5: Solve for x
    x = 26,573,564,196/74,125.50
  6. Step 6: Final answer
    x = 358,494.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.