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Finding the Third Proportional to 148,009 and 163,035

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Solution

The third proportional to 148,009 and 163,035 is: 179,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,009 : 163,035 = 163,035 : x
  2. Step 2: Convert to fraction form
    148,009/163,035 = 163,035/x
  3. Step 3: Cross multiply
    148,009x = 163,035 × 163,035
  4. Step 4: Simplify right side
    148,009x = 26,580,411,225
  5. Step 5: Solve for x
    x = 26,580,411,225/148,009
  6. Step 6: Final answer
    x = 179,586.45

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.