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Finding the Third Proportional to 75,273 and 112,915.50

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Solution

The third proportional to 75,273 and 112,915.50 is: 169,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,273 : 112,915.50 = 112,915.50 : x
  2. Step 2: Convert to fraction form
    75,273/112,915.50 = 112,915.50/x
  3. Step 3: Cross multiply
    75,273x = 112,915.50 × 112,915.50
  4. Step 4: Simplify right side
    75,273x = 12,749,910,140.25
  5. Step 5: Solve for x
    x = 12,749,910,140.25/75,273
  6. Step 6: Final answer
    x = 169,382.25

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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.