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Finding the Third Proportional to 78,816 and 93,396

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Solution

The third proportional to 78,816 and 93,396 is: 110,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,816 : 93,396 = 93,396 : x
  2. Step 2: Convert to fraction form
    78,816/93,396 = 93,396/x
  3. Step 3: Cross multiply
    78,816x = 93,396 × 93,396
  4. Step 4: Simplify right side
    78,816x = 8,722,812,816
  5. Step 5: Solve for x
    x = 8,722,812,816/78,816
  6. Step 6: Final answer
    x = 110,673.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.