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Finding the Third Proportional to 69,294 and 96,543.75

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Solution

The third proportional to 69,294 and 96,543.75 is: 134,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,294 : 96,543.75 = 96,543.75 : x
  2. Step 2: Convert to fraction form
    69,294/96,543.75 = 96,543.75/x
  3. Step 3: Cross multiply
    69,294x = 96,543.75 × 96,543.75
  4. Step 4: Simplify right side
    69,294x = 9,320,695,664.06
  5. Step 5: Solve for x
    x = 9,320,695,664.06/69,294
  6. Step 6: Final answer
    x = 134,509.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.