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Finding the Third Proportional to 25,047 and 59,123.25

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Solution

The third proportional to 25,047 and 59,123.25 is: 139,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047 : 59,123.25 = 59,123.25 : x
  2. Step 2: Convert to fraction form
    25,047/59,123.25 = 59,123.25/x
  3. Step 3: Cross multiply
    25,047x = 59,123.25 × 59,123.25
  4. Step 4: Simplify right side
    25,047x = 3,495,558,690.56
  5. Step 5: Solve for x
    x = 3,495,558,690.56/25,047
  6. Step 6: Final answer
    x = 139,559.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.