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Finding the Third Proportional to 107,487.50 and 161,213

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Solution

The third proportional to 107,487.50 and 161,213 is: 241,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,487.50 : 161,213 = 161,213 : x
  2. Step 2: Convert to fraction form
    107,487.50/161,213 = 161,213/x
  3. Step 3: Cross multiply
    107,487.50x = 161,213 × 161,213
  4. Step 4: Simplify right side
    107,487.50x = 25,989,631,369
  5. Step 5: Solve for x
    x = 25,989,631,369/107,487.50
  6. Step 6: Final answer
    x = 241,792.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.