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Finding the Third Proportional to 55,489 and 121,341.50

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Solution

The third proportional to 55,489 and 121,341.50 is: 265,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,489 : 121,341.50 = 121,341.50 : x
  2. Step 2: Convert to fraction form
    55,489/121,341.50 = 121,341.50/x
  3. Step 3: Cross multiply
    55,489x = 121,341.50 × 121,341.50
  4. Step 4: Simplify right side
    55,489x = 14,723,759,622.25
  5. Step 5: Solve for x
    x = 14,723,759,622.25/55,489
  6. Step 6: Final answer
    x = 265,345.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.