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Finding the Third Proportional to 107,709.75 and 167,510.53

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Solution

The third proportional to 107,709.75 and 167,510.53 is: 260,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,709.75 : 167,510.53 = 167,510.53 : x
  2. Step 2: Convert to fraction form
    107,709.75/167,510.53 = 167,510.53/x
  3. Step 3: Cross multiply
    107,709.75x = 167,510.53 × 167,510.53
  4. Step 4: Simplify right side
    107,709.75x = 28,059,778,079.66
  5. Step 5: Solve for x
    x = 28,059,778,079.66/107,709.75
  6. Step 6: Final answer
    x = 260,512.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.