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Finding the Third Proportional to 65,248 and 98,038

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Solution

The third proportional to 65,248 and 98,038 is: 147,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,248 : 98,038 = 98,038 : x
  2. Step 2: Convert to fraction form
    65,248/98,038 = 98,038/x
  3. Step 3: Cross multiply
    65,248x = 98,038 × 98,038
  4. Step 4: Simplify right side
    65,248x = 9,611,449,444
  5. Step 5: Solve for x
    x = 9,611,449,444/65,248
  6. Step 6: Final answer
    x = 147,306.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.