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Finding the Third Proportional to 97,720 and 147,960

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Solution

The third proportional to 97,720 and 147,960 is: 224,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,720 : 147,960 = 147,960 : x
  2. Step 2: Convert to fraction form
    97,720/147,960 = 147,960/x
  3. Step 3: Cross multiply
    97,720x = 147,960 × 147,960
  4. Step 4: Simplify right side
    97,720x = 21,892,161,600
  5. Step 5: Solve for x
    x = 21,892,161,600/97,720
  6. Step 6: Final answer
    x = 224,029.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.