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Finding the Third Proportional to 102,174 and 153,402

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Solution

The third proportional to 102,174 and 153,402 is: 230,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174 : 153,402 = 153,402 : x
  2. Step 2: Convert to fraction form
    102,174/153,402 = 153,402/x
  3. Step 3: Cross multiply
    102,174x = 153,402 × 153,402
  4. Step 4: Simplify right side
    102,174x = 23,532,173,604
  5. Step 5: Solve for x
    x = 23,532,173,604/102,174
  6. Step 6: Final answer
    x = 230,314.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.