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Finding the Third Proportional to 93,902 and 129,140

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Solution

The third proportional to 93,902 and 129,140 is: 177,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,902 : 129,140 = 129,140 : x
  2. Step 2: Convert to fraction form
    93,902/129,140 = 129,140/x
  3. Step 3: Cross multiply
    93,902x = 129,140 × 129,140
  4. Step 4: Simplify right side
    93,902x = 16,677,139,600
  5. Step 5: Solve for x
    x = 16,677,139,600/93,902
  6. Step 6: Final answer
    x = 177,601.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.