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Finding the Third Proportional to 58,326 and 88,299

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Solution

The third proportional to 58,326 and 88,299 is: 133,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,326 : 88,299 = 88,299 : x
  2. Step 2: Convert to fraction form
    58,326/88,299 = 88,299/x
  3. Step 3: Cross multiply
    58,326x = 88,299 × 88,299
  4. Step 4: Simplify right side
    58,326x = 7,796,713,401
  5. Step 5: Solve for x
    x = 7,796,713,401/58,326
  6. Step 6: Final answer
    x = 133,674.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.