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Finding the Third Proportional to 148,520 and 201,770

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Solution

The third proportional to 148,520 and 201,770 is: 274,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,520 : 201,770 = 201,770 : x
  2. Step 2: Convert to fraction form
    148,520/201,770 = 201,770/x
  3. Step 3: Cross multiply
    148,520x = 201,770 × 201,770
  4. Step 4: Simplify right side
    148,520x = 40,711,132,900
  5. Step 5: Solve for x
    x = 40,711,132,900/148,520
  6. Step 6: Final answer
    x = 274,112.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.