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Finding the Third Proportional to 55,464.75 and 90,113.13

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Solution

The third proportional to 55,464.75 and 90,113.13 is: 146,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464.75 : 90,113.13 = 90,113.13 : x
  2. Step 2: Convert to fraction form
    55,464.75/90,113.13 = 90,113.13/x
  3. Step 3: Cross multiply
    55,464.75x = 90,113.13 × 90,113.13
  4. Step 4: Simplify right side
    55,464.75x = 8,120,376,705.28
  5. Step 5: Solve for x
    x = 8,120,376,705.28/55,464.75
  6. Step 6: Final answer
    x = 146,406.08

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.