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Finding the Third Proportional to 58,345 and 127,382

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Solution

The third proportional to 58,345 and 127,382 is: 278,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,345 : 127,382 = 127,382 : x
  2. Step 2: Convert to fraction form
    58,345/127,382 = 127,382/x
  3. Step 3: Cross multiply
    58,345x = 127,382 × 127,382
  4. Step 4: Simplify right side
    58,345x = 16,226,173,924
  5. Step 5: Solve for x
    x = 16,226,173,924/58,345
  6. Step 6: Final answer
    x = 278,107.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.