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Finding the Third Proportional to 79,010 and 146,810

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Solution

The third proportional to 79,010 and 146,810 is: 272,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,010 : 146,810 = 146,810 : x
  2. Step 2: Convert to fraction form
    79,010/146,810 = 146,810/x
  3. Step 3: Cross multiply
    79,010x = 146,810 × 146,810
  4. Step 4: Simplify right side
    79,010x = 21,553,176,100
  5. Step 5: Solve for x
    x = 21,553,176,100/79,010
  6. Step 6: Final answer
    x = 272,790.48

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.