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Finding the Third Proportional to 98,706 and 152,673

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Solution

The third proportional to 98,706 and 152,673 is: 236,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,706 : 152,673 = 152,673 : x
  2. Step 2: Convert to fraction form
    98,706/152,673 = 152,673/x
  3. Step 3: Cross multiply
    98,706x = 152,673 × 152,673
  4. Step 4: Simplify right side
    98,706x = 23,309,044,929
  5. Step 5: Solve for x
    x = 23,309,044,929/98,706
  6. Step 6: Final answer
    x = 236,146.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.