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Finding the Third Proportional to 73,440 and 152,712

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Solution

The third proportional to 73,440 and 152,712 is: 317,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,440 : 152,712 = 152,712 : x
  2. Step 2: Convert to fraction form
    73,440/152,712 = 152,712/x
  3. Step 3: Cross multiply
    73,440x = 152,712 × 152,712
  4. Step 4: Simplify right side
    73,440x = 23,320,954,944
  5. Step 5: Solve for x
    x = 23,320,954,944/73,440
  6. Step 6: Final answer
    x = 317,551.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.