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Finding the Third Proportional to 88,740 and 192,402

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Solution

The third proportional to 88,740 and 192,402 is: 417,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,740 : 192,402 = 192,402 : x
  2. Step 2: Convert to fraction form
    88,740/192,402 = 192,402/x
  3. Step 3: Cross multiply
    88,740x = 192,402 × 192,402
  4. Step 4: Simplify right side
    88,740x = 37,018,529,604
  5. Step 5: Solve for x
    x = 37,018,529,604/88,740
  6. Step 6: Final answer
    x = 417,157.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.