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Finding the Third Proportional to 73,502 and 158,810

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Solution

The third proportional to 73,502 and 158,810 is: 343,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,502 : 158,810 = 158,810 : x
  2. Step 2: Convert to fraction form
    73,502/158,810 = 158,810/x
  3. Step 3: Cross multiply
    73,502x = 158,810 × 158,810
  4. Step 4: Simplify right side
    73,502x = 25,220,616,100
  5. Step 5: Solve for x
    x = 25,220,616,100/73,502
  6. Step 6: Final answer
    x = 343,128.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.