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Finding the Third Proportional to 135,006.75 and 291,669.75

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Solution

The third proportional to 135,006.75 and 291,669.75 is: 630,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,006.75 : 291,669.75 = 291,669.75 : x
  2. Step 2: Convert to fraction form
    135,006.75/291,669.75 = 291,669.75/x
  3. Step 3: Cross multiply
    135,006.75x = 291,669.75 × 291,669.75
  4. Step 4: Simplify right side
    135,006.75x = 85,071,243,065.06
  5. Step 5: Solve for x
    x = 85,071,243,065.06/135,006.75
  6. Step 6: Final answer
    x = 630,125.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.