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Finding the Third Proportional to 60,174 and 132,014

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Solution

The third proportional to 60,174 and 132,014 is: 289,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,174 : 132,014 = 132,014 : x
  2. Step 2: Convert to fraction form
    60,174/132,014 = 132,014/x
  3. Step 3: Cross multiply
    60,174x = 132,014 × 132,014
  4. Step 4: Simplify right side
    60,174x = 17,427,696,196
  5. Step 5: Solve for x
    x = 17,427,696,196/60,174
  6. Step 6: Final answer
    x = 289,621.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.