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Finding the Third Proportional to 56,176.03 and 120,614.06

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Solution

The third proportional to 56,176.03 and 120,614.06 is: 258,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,176.03 : 120,614.06 = 120,614.06 : x
  2. Step 2: Convert to fraction form
    56,176.03/120,614.06 = 120,614.06/x
  3. Step 3: Cross multiply
    56,176.03x = 120,614.06 × 120,614.06
  4. Step 4: Simplify right side
    56,176.03x = 14,547,752,072.75
  5. Step 5: Solve for x
    x = 14,547,752,072.75/56,176.03
  6. Step 6: Final answer
    x = 258,967.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.