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Finding the Third Proportional to 73,712 and 157,944

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Solution

The third proportional to 73,712 and 157,944 is: 338,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,712 : 157,944 = 157,944 : x
  2. Step 2: Convert to fraction form
    73,712/157,944 = 157,944/x
  3. Step 3: Cross multiply
    73,712x = 157,944 × 157,944
  4. Step 4: Simplify right side
    73,712x = 24,946,307,136
  5. Step 5: Solve for x
    x = 24,946,307,136/73,712
  6. Step 6: Final answer
    x = 338,429.39

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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.