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Finding the Third Proportional to 148,476 and 201,721.50

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Solution

The third proportional to 148,476 and 201,721.50 is: 274,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,476 : 201,721.50 = 201,721.50 : x
  2. Step 2: Convert to fraction form
    148,476/201,721.50 = 201,721.50/x
  3. Step 3: Cross multiply
    148,476x = 201,721.50 × 201,721.50
  4. Step 4: Simplify right side
    148,476x = 40,691,563,562.25
  5. Step 5: Solve for x
    x = 40,691,563,562.25/148,476
  6. Step 6: Final answer
    x = 274,061.56

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