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Finding the Third Proportional to 55,454.63 and 90,102.38

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Solution

The third proportional to 55,454.63 and 90,102.38 is: 146,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,454.63 : 90,102.38 = 90,102.38 : x
  2. Step 2: Convert to fraction form
    55,454.63/90,102.38 = 90,102.38/x
  3. Step 3: Cross multiply
    55,454.63x = 90,102.38 × 90,102.38
  4. Step 4: Simplify right side
    55,454.63x = 8,118,437,980.64
  5. Step 5: Solve for x
    x = 8,118,437,980.64/55,454.63
  6. Step 6: Final answer
    x = 146,397.85

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