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Finding the Third Proportional to 72,905 and 158,986

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Solution

The third proportional to 72,905 and 158,986 is: 346,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,905 : 158,986 = 158,986 : x
  2. Step 2: Convert to fraction form
    72,905/158,986 = 158,986/x
  3. Step 3: Cross multiply
    72,905x = 158,986 × 158,986
  4. Step 4: Simplify right side
    72,905x = 25,276,548,196
  5. Step 5: Solve for x
    x = 25,276,548,196/72,905
  6. Step 6: Final answer
    x = 346,705.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.