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Finding the Third Proportional to 71,438.06 and 152,717.63

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Solution

The third proportional to 71,438.06 and 152,717.63 is: 326,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438.06 : 152,717.63 = 152,717.63 : x
  2. Step 2: Convert to fraction form
    71,438.06/152,717.63 = 152,717.63/x
  3. Step 3: Cross multiply
    71,438.06x = 152,717.63 × 152,717.63
  4. Step 4: Simplify right side
    71,438.06x = 23,322,672,985.64
  5. Step 5: Solve for x
    x = 23,322,672,985.64/71,438.06
  6. Step 6: Final answer
    x = 326,474.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.