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Finding the Third Proportional to 106,308 and 141,750

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Solution

The third proportional to 106,308 and 141,750 is: 189,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308 : 141,750 = 141,750 : x
  2. Step 2: Convert to fraction form
    106,308/141,750 = 141,750/x
  3. Step 3: Cross multiply
    106,308x = 141,750 × 141,750
  4. Step 4: Simplify right side
    106,308x = 20,093,062,500
  5. Step 5: Solve for x
    x = 20,093,062,500/106,308
  6. Step 6: Final answer
    x = 189,008.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.