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Finding the Third Proportional to 69,564 and 93,192

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Solution

The third proportional to 69,564 and 93,192 is: 124,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,564 : 93,192 = 93,192 : x
  2. Step 2: Convert to fraction form
    69,564/93,192 = 93,192/x
  3. Step 3: Cross multiply
    69,564x = 93,192 × 93,192
  4. Step 4: Simplify right side
    69,564x = 8,684,748,864
  5. Step 5: Solve for x
    x = 8,684,748,864/69,564
  6. Step 6: Final answer
    x = 124,845.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.