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Finding the Third Proportional to 76,807 and 116,283

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Solution

The third proportional to 76,807 and 116,283 is: 176,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807 : 116,283 = 116,283 : x
  2. Step 2: Convert to fraction form
    76,807/116,283 = 116,283/x
  3. Step 3: Cross multiply
    76,807x = 116,283 × 116,283
  4. Step 4: Simplify right side
    76,807x = 13,521,736,089
  5. Step 5: Solve for x
    x = 13,521,736,089/76,807
  6. Step 6: Final answer
    x = 176,048.23

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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.