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Finding the Third Proportional to 58,653 and 127,894

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Solution

The third proportional to 58,653 and 127,894 is: 278,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,653 : 127,894 = 127,894 : x
  2. Step 2: Convert to fraction form
    58,653/127,894 = 127,894/x
  3. Step 3: Cross multiply
    58,653x = 127,894 × 127,894
  4. Step 4: Simplify right side
    58,653x = 16,356,875,236
  5. Step 5: Solve for x
    x = 16,356,875,236/58,653
  6. Step 6: Final answer
    x = 278,875.34

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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.