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Finding the Third Proportional to 58,581 and 127,854

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Solution

The third proportional to 58,581 and 127,854 is: 279,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,581 : 127,854 = 127,854 : x
  2. Step 2: Convert to fraction form
    58,581/127,854 = 127,854/x
  3. Step 3: Cross multiply
    58,581x = 127,854 × 127,854
  4. Step 4: Simplify right side
    58,581x = 16,346,645,316
  5. Step 5: Solve for x
    x = 16,346,645,316/58,581
  6. Step 6: Final answer
    x = 279,043.47

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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.