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Finding the Third Proportional to 65,438 and 100,716

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Solution

The third proportional to 65,438 and 100,716 is: 155,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,438 : 100,716 = 100,716 : x
  2. Step 2: Convert to fraction form
    65,438/100,716 = 100,716/x
  3. Step 3: Cross multiply
    65,438x = 100,716 × 100,716
  4. Step 4: Simplify right side
    65,438x = 10,143,712,656
  5. Step 5: Solve for x
    x = 10,143,712,656/65,438
  6. Step 6: Final answer
    x = 155,012.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.