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Finding the Third Proportional to 64,656 and 100,347

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Solution

The third proportional to 64,656 and 100,347 is: 155,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,656 : 100,347 = 100,347 : x
  2. Step 2: Convert to fraction form
    64,656/100,347 = 100,347/x
  3. Step 3: Cross multiply
    64,656x = 100,347 × 100,347
  4. Step 4: Simplify right side
    64,656x = 10,069,520,409
  5. Step 5: Solve for x
    x = 10,069,520,409/64,656
  6. Step 6: Final answer
    x = 155,739.92

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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.