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Finding the Third Proportional to 45,969 and 72,232.50

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Solution

The third proportional to 45,969 and 72,232.50 is: 113,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,969 : 72,232.50 = 72,232.50 : x
  2. Step 2: Convert to fraction form
    45,969/72,232.50 = 72,232.50/x
  3. Step 3: Cross multiply
    45,969x = 72,232.50 × 72,232.50
  4. Step 4: Simplify right side
    45,969x = 5,217,534,056.25
  5. Step 5: Solve for x
    x = 5,217,534,056.25/45,969
  6. Step 6: Final answer
    x = 113,501.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.