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Finding the Third Proportional to 108,487.50 and 235,018.50

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Solution

The third proportional to 108,487.50 and 235,018.50 is: 509,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,487.50 : 235,018.50 = 235,018.50 : x
  2. Step 2: Convert to fraction form
    108,487.50/235,018.50 = 235,018.50/x
  3. Step 3: Cross multiply
    108,487.50x = 235,018.50 × 235,018.50
  4. Step 4: Simplify right side
    108,487.50x = 55,233,695,342.25
  5. Step 5: Solve for x
    x = 55,233,695,342.25/108,487.50
  6. Step 6: Final answer
    x = 509,124.97

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