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Finding the Third Proportional to 74,898.42 and 105,350.63

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Solution

The third proportional to 74,898.42 and 105,350.63 is: 148,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,898.42 : 105,350.63 = 105,350.63 : x
  2. Step 2: Convert to fraction form
    74,898.42/105,350.63 = 105,350.63/x
  3. Step 3: Cross multiply
    74,898.42x = 105,350.63 × 105,350.63
  4. Step 4: Simplify right side
    74,898.42x = 11,098,754,187.89
  5. Step 5: Solve for x
    x = 11,098,754,187.89/74,898.42
  6. Step 6: Final answer
    x = 148,184.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.