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Finding the Third Proportional to 132,174 and 201,363.75

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Solution

The third proportional to 132,174 and 201,363.75 is: 306,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,174 : 201,363.75 = 201,363.75 : x
  2. Step 2: Convert to fraction form
    132,174/201,363.75 = 201,363.75/x
  3. Step 3: Cross multiply
    132,174x = 201,363.75 × 201,363.75
  4. Step 4: Simplify right side
    132,174x = 40,547,359,814.06
  5. Step 5: Solve for x
    x = 40,547,359,814.06/132,174
  6. Step 6: Final answer
    x = 306,772.59

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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.