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Finding the Third Proportional to 61,093.50 and 129,423

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Solution

The third proportional to 61,093.50 and 129,423 is: 274,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,093.50 : 129,423 = 129,423 : x
  2. Step 2: Convert to fraction form
    61,093.50/129,423 = 129,423/x
  3. Step 3: Cross multiply
    61,093.50x = 129,423 × 129,423
  4. Step 4: Simplify right side
    61,093.50x = 16,750,312,929
  5. Step 5: Solve for x
    x = 16,750,312,929/61,093.50
  6. Step 6: Final answer
    x = 274,175.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.