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Finding the Third Proportional to 58,369 and 86,703

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Solution

The third proportional to 58,369 and 86,703 is: 128,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,369 : 86,703 = 86,703 : x
  2. Step 2: Convert to fraction form
    58,369/86,703 = 86,703/x
  3. Step 3: Cross multiply
    58,369x = 86,703 × 86,703
  4. Step 4: Simplify right side
    58,369x = 7,517,410,209
  5. Step 5: Solve for x
    x = 7,517,410,209/58,369
  6. Step 6: Final answer
    x = 128,791.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.