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Finding the Third Proportional to 78,840 and 170,792

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Solution

The third proportional to 78,840 and 170,792 is: 369,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 170,792 = 170,792 : x
  2. Step 2: Convert to fraction form
    78,840/170,792 = 170,792/x
  3. Step 3: Cross multiply
    78,840x = 170,792 × 170,792
  4. Step 4: Simplify right side
    78,840x = 29,169,907,264
  5. Step 5: Solve for x
    x = 29,169,907,264/78,840
  6. Step 6: Final answer
    x = 369,988.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.