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Finding the Third Proportional to 76,918 and 116,438

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Solution

The third proportional to 76,918 and 116,438 is: 176,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,918 : 116,438 = 116,438 : x
  2. Step 2: Convert to fraction form
    76,918/116,438 = 116,438/x
  3. Step 3: Cross multiply
    76,918x = 116,438 × 116,438
  4. Step 4: Simplify right side
    76,918x = 13,557,807,844
  5. Step 5: Solve for x
    x = 13,557,807,844/76,918
  6. Step 6: Final answer
    x = 176,263.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.