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Finding the Third Proportional to 132,142.64 and 201,312.21

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Solution

The third proportional to 132,142.64 and 201,312.21 is: 306,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,142.64 : 201,312.21 = 201,312.21 : x
  2. Step 2: Convert to fraction form
    132,142.64/201,312.21 = 201,312.21/x
  3. Step 3: Cross multiply
    132,142.64x = 201,312.21 × 201,312.21
  4. Step 4: Simplify right side
    132,142.64x = 40,526,606,272.54
  5. Step 5: Solve for x
    x = 40,526,606,272.54/132,142.64
  6. Step 6: Final answer
    x = 306,688.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.