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Finding the Third Proportional to 98,894.50 and 153,085

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Solution

The third proportional to 98,894.50 and 153,085 is: 236,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,894.50 : 153,085 = 153,085 : x
  2. Step 2: Convert to fraction form
    98,894.50/153,085 = 153,085/x
  3. Step 3: Cross multiply
    98,894.50x = 153,085 × 153,085
  4. Step 4: Simplify right side
    98,894.50x = 23,435,017,225
  5. Step 5: Solve for x
    x = 23,435,017,225/98,894.50
  6. Step 6: Final answer
    x = 236,969.87

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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.