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Finding the Third Proportional to 78,935 and 169,066

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Solution

The third proportional to 78,935 and 169,066 is: 362,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,935 : 169,066 = 169,066 : x
  2. Step 2: Convert to fraction form
    78,935/169,066 = 169,066/x
  3. Step 3: Cross multiply
    78,935x = 169,066 × 169,066
  4. Step 4: Simplify right side
    78,935x = 28,583,312,356
  5. Step 5: Solve for x
    x = 28,583,312,356/78,935
  6. Step 6: Final answer
    x = 362,112.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.