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Finding the Third Proportional to 58,112 and 117,808

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Solution

The third proportional to 58,112 and 117,808 is: 238,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,112 : 117,808 = 117,808 : x
  2. Step 2: Convert to fraction form
    58,112/117,808 = 117,808/x
  3. Step 3: Cross multiply
    58,112x = 117,808 × 117,808
  4. Step 4: Simplify right side
    58,112x = 13,878,724,864
  5. Step 5: Solve for x
    x = 13,878,724,864/58,112
  6. Step 6: Final answer
    x = 238,827.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.