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Finding the Third Proportional to 86,348 and 114,771

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Solution

The third proportional to 86,348 and 114,771 is: 152,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,348 : 114,771 = 114,771 : x
  2. Step 2: Convert to fraction form
    86,348/114,771 = 114,771/x
  3. Step 3: Cross multiply
    86,348x = 114,771 × 114,771
  4. Step 4: Simplify right side
    86,348x = 13,172,382,441
  5. Step 5: Solve for x
    x = 13,172,382,441/86,348
  6. Step 6: Final answer
    x = 152,549.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.