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Finding the Third Proportional to 78,426 and 169,810

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Solution

The third proportional to 78,426 and 169,810 is: 367,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,426 : 169,810 = 169,810 : x
  2. Step 2: Convert to fraction form
    78,426/169,810 = 169,810/x
  3. Step 3: Cross multiply
    78,426x = 169,810 × 169,810
  4. Step 4: Simplify right side
    78,426x = 28,835,436,100
  5. Step 5: Solve for x
    x = 28,835,436,100/78,426
  6. Step 6: Final answer
    x = 367,677.00

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Why These Related Problems?

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