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Finding the Third Proportional to 97,377 and 154,060

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Solution

The third proportional to 97,377 and 154,060 is: 243,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,377 : 154,060 = 154,060 : x
  2. Step 2: Convert to fraction form
    97,377/154,060 = 154,060/x
  3. Step 3: Cross multiply
    97,377x = 154,060 × 154,060
  4. Step 4: Simplify right side
    97,377x = 23,734,483,600
  5. Step 5: Solve for x
    x = 23,734,483,600/97,377
  6. Step 6: Final answer
    x = 243,738.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.