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Finding the Third Proportional to 54,237.50 and 112,574

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Solution

The third proportional to 54,237.50 and 112,574 is: 233,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,237.50 : 112,574 = 112,574 : x
  2. Step 2: Convert to fraction form
    54,237.50/112,574 = 112,574/x
  3. Step 3: Cross multiply
    54,237.50x = 112,574 × 112,574
  4. Step 4: Simplify right side
    54,237.50x = 12,672,905,476
  5. Step 5: Solve for x
    x = 12,672,905,476/54,237.50
  6. Step 6: Final answer
    x = 233,655.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.