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Finding the Third Proportional to 101,174 and 148,478

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Solution

The third proportional to 101,174 and 148,478 is: 217,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,174 : 148,478 = 148,478 : x
  2. Step 2: Convert to fraction form
    101,174/148,478 = 148,478/x
  3. Step 3: Cross multiply
    101,174x = 148,478 × 148,478
  4. Step 4: Simplify right side
    101,174x = 22,045,716,484
  5. Step 5: Solve for x
    x = 22,045,716,484/101,174
  6. Step 6: Final answer
    x = 217,899.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.