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Finding the Third Proportional to 77,460 and 169,664

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Solution

The third proportional to 77,460 and 169,664 is: 371,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,460 : 169,664 = 169,664 : x
  2. Step 2: Convert to fraction form
    77,460/169,664 = 169,664/x
  3. Step 3: Cross multiply
    77,460x = 169,664 × 169,664
  4. Step 4: Simplify right side
    77,460x = 28,785,872,896
  5. Step 5: Solve for x
    x = 28,785,872,896/77,460
  6. Step 6: Final answer
    x = 371,622.42

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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.