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Finding the Third Proportional to 77,409 and 169,641

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Solution

The third proportional to 77,409 and 169,641 is: 371,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409 : 169,641 = 169,641 : x
  2. Step 2: Convert to fraction form
    77,409/169,641 = 169,641/x
  3. Step 3: Cross multiply
    77,409x = 169,641 × 169,641
  4. Step 4: Simplify right side
    77,409x = 28,778,068,881
  5. Step 5: Solve for x
    x = 28,778,068,881/77,409
  6. Step 6: Final answer
    x = 371,766.45

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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.