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Finding the Third Proportional to 75,242.25 and 112,495.50

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Solution

The third proportional to 75,242.25 and 112,495.50 is: 168,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242.25 : 112,495.50 = 112,495.50 : x
  2. Step 2: Convert to fraction form
    75,242.25/112,495.50 = 112,495.50/x
  3. Step 3: Cross multiply
    75,242.25x = 112,495.50 × 112,495.50
  4. Step 4: Simplify right side
    75,242.25x = 12,655,237,520.25
  5. Step 5: Solve for x
    x = 12,655,237,520.25/75,242.25
  6. Step 6: Final answer
    x = 168,193.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.