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Finding the Third Proportional to 108,462.75 and 235,173.75

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Solution

The third proportional to 108,462.75 and 235,173.75 is: 509,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,462.75 : 235,173.75 = 235,173.75 : x
  2. Step 2: Convert to fraction form
    108,462.75/235,173.75 = 235,173.75/x
  3. Step 3: Cross multiply
    108,462.75x = 235,173.75 × 235,173.75
  4. Step 4: Simplify right side
    108,462.75x = 55,306,692,689.06
  5. Step 5: Solve for x
    x = 55,306,692,689.06/108,462.75
  6. Step 6: Final answer
    x = 509,914.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.