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Finding the Third Proportional to 61,463.81 and 96,000.19

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Solution

The third proportional to 61,463.81 and 96,000.19 is: 149,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,463.81 : 96,000.19 = 96,000.19 : x
  2. Step 2: Convert to fraction form
    61,463.81/96,000.19 = 96,000.19/x
  3. Step 3: Cross multiply
    61,463.81x = 96,000.19 × 96,000.19
  4. Step 4: Simplify right side
    61,463.81x = 9,216,036,000.04
  5. Step 5: Solve for x
    x = 9,216,036,000.04/61,463.81
  6. Step 6: Final answer
    x = 149,942.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.