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Finding the Third Proportional to 65,464 and 100,097

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Solution

The third proportional to 65,464 and 100,097 is: 153,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464 : 100,097 = 100,097 : x
  2. Step 2: Convert to fraction form
    65,464/100,097 = 100,097/x
  3. Step 3: Cross multiply
    65,464x = 100,097 × 100,097
  4. Step 4: Simplify right side
    65,464x = 10,019,409,409
  5. Step 5: Solve for x
    x = 10,019,409,409/65,464
  6. Step 6: Final answer
    x = 153,052.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.