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Finding the Third Proportional to 63,830 and 101,025

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Solution

The third proportional to 63,830 and 101,025 is: 159,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,830 : 101,025 = 101,025 : x
  2. Step 2: Convert to fraction form
    63,830/101,025 = 101,025/x
  3. Step 3: Cross multiply
    63,830x = 101,025 × 101,025
  4. Step 4: Simplify right side
    63,830x = 10,206,050,625
  5. Step 5: Solve for x
    x = 10,206,050,625/63,830
  6. Step 6: Final answer
    x = 159,894.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.