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Finding the Third Proportional to 73,672 and 117,164

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Solution

The third proportional to 73,672 and 117,164 is: 186,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672 : 117,164 = 117,164 : x
  2. Step 2: Convert to fraction form
    73,672/117,164 = 117,164/x
  3. Step 3: Cross multiply
    73,672x = 117,164 × 117,164
  4. Step 4: Simplify right side
    73,672x = 13,727,402,896
  5. Step 5: Solve for x
    x = 13,727,402,896/73,672
  6. Step 6: Final answer
    x = 186,331.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.