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Finding the Third Proportional to 65,099 and 98,347

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Solution

The third proportional to 65,099 and 98,347 is: 148,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099 : 98,347 = 98,347 : x
  2. Step 2: Convert to fraction form
    65,099/98,347 = 98,347/x
  3. Step 3: Cross multiply
    65,099x = 98,347 × 98,347
  4. Step 4: Simplify right side
    65,099x = 9,672,132,409
  5. Step 5: Solve for x
    x = 9,672,132,409/65,099
  6. Step 6: Final answer
    x = 148,575.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.