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Finding the Third Proportional to 58,447.75 and 127,832.50

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Solution

The third proportional to 58,447.75 and 127,832.50 is: 279,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,447.75 : 127,832.50 = 127,832.50 : x
  2. Step 2: Convert to fraction form
    58,447.75/127,832.50 = 127,832.50/x
  3. Step 3: Cross multiply
    58,447.75x = 127,832.50 × 127,832.50
  4. Step 4: Simplify right side
    58,447.75x = 16,341,148,056.25
  5. Step 5: Solve for x
    x = 16,341,148,056.25/58,447.75
  6. Step 6: Final answer
    x = 279,585.58

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Why These Related Problems?

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