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Finding the Third Proportional to 107,166.75 and 161,722.50

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Solution

The third proportional to 107,166.75 and 161,722.50 is: 244,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,166.75 : 161,722.50 = 161,722.50 : x
  2. Step 2: Convert to fraction form
    107,166.75/161,722.50 = 161,722.50/x
  3. Step 3: Cross multiply
    107,166.75x = 161,722.50 × 161,722.50
  4. Step 4: Simplify right side
    107,166.75x = 26,154,167,006.25
  5. Step 5: Solve for x
    x = 26,154,167,006.25/107,166.75
  6. Step 6: Final answer
    x = 244,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.