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Finding the Third Proportional to 132,845.06 and 143,780.06

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Solution

The third proportional to 132,845.06 and 143,780.06 is: 155,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,845.06 : 143,780.06 = 143,780.06 : x
  2. Step 2: Convert to fraction form
    132,845.06/143,780.06 = 143,780.06/x
  3. Step 3: Cross multiply
    132,845.06x = 143,780.06 × 143,780.06
  4. Step 4: Simplify right side
    132,845.06x = 20,672,706,372.50
  5. Step 5: Solve for x
    x = 20,672,706,372.50/132,845.06
  6. Step 6: Final answer
    x = 155,615.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.