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Finding the Third Proportional to 54,409 and 79,750.50

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Solution

The third proportional to 54,409 and 79,750.50 is: 116,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,409 : 79,750.50 = 79,750.50 : x
  2. Step 2: Convert to fraction form
    54,409/79,750.50 = 79,750.50/x
  3. Step 3: Cross multiply
    54,409x = 79,750.50 × 79,750.50
  4. Step 4: Simplify right side
    54,409x = 6,360,142,250.25
  5. Step 5: Solve for x
    x = 6,360,142,250.25/54,409
  6. Step 6: Final answer
    x = 116,895.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.