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Finding the Third Proportional to 72,712 and 158,924

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Solution

The third proportional to 72,712 and 158,924 is: 347,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712 : 158,924 = 158,924 : x
  2. Step 2: Convert to fraction form
    72,712/158,924 = 158,924/x
  3. Step 3: Cross multiply
    72,712x = 158,924 × 158,924
  4. Step 4: Simplify right side
    72,712x = 25,256,837,776
  5. Step 5: Solve for x
    x = 25,256,837,776/72,712
  6. Step 6: Final answer
    x = 347,354.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.