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Finding the Third Proportional to 61,458 and 129,095

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Solution

The third proportional to 61,458 and 129,095 is: 271,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,458 : 129,095 = 129,095 : x
  2. Step 2: Convert to fraction form
    61,458/129,095 = 129,095/x
  3. Step 3: Cross multiply
    61,458x = 129,095 × 129,095
  4. Step 4: Simplify right side
    61,458x = 16,665,519,025
  5. Step 5: Solve for x
    x = 16,665,519,025/61,458
  6. Step 6: Final answer
    x = 271,169.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.