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Finding the Third Proportional to 98,517 and 152,394

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Solution

The third proportional to 98,517 and 152,394 is: 235,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,517 : 152,394 = 152,394 : x
  2. Step 2: Convert to fraction form
    98,517/152,394 = 152,394/x
  3. Step 3: Cross multiply
    98,517x = 152,394 × 152,394
  4. Step 4: Simplify right side
    98,517x = 23,223,931,236
  5. Step 5: Solve for x
    x = 23,223,931,236/98,517
  6. Step 6: Final answer
    x = 235,735.27

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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.