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Finding the Third Proportional to 77,052 and 168,792

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Solution

The third proportional to 77,052 and 168,792 is: 369,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052 : 168,792 = 168,792 : x
  2. Step 2: Convert to fraction form
    77,052/168,792 = 168,792/x
  3. Step 3: Cross multiply
    77,052x = 168,792 × 168,792
  4. Step 4: Simplify right side
    77,052x = 28,490,739,264
  5. Step 5: Solve for x
    x = 28,490,739,264/77,052
  6. Step 6: Final answer
    x = 369,759.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.