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Finding the Third Proportional to 104,288 and 141,688

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Solution

The third proportional to 104,288 and 141,688 is: 192,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,288 : 141,688 = 141,688 : x
  2. Step 2: Convert to fraction form
    104,288/141,688 = 141,688/x
  3. Step 3: Cross multiply
    104,288x = 141,688 × 141,688
  4. Step 4: Simplify right side
    104,288x = 20,075,489,344
  5. Step 5: Solve for x
    x = 20,075,489,344/104,288
  6. Step 6: Final answer
    x = 192,500.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.