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Finding the Third Proportional to 97,029 and 144,942

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Solution

The third proportional to 97,029 and 144,942 is: 216,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,029 : 144,942 = 144,942 : x
  2. Step 2: Convert to fraction form
    97,029/144,942 = 144,942/x
  3. Step 3: Cross multiply
    97,029x = 144,942 × 144,942
  4. Step 4: Simplify right side
    97,029x = 21,008,183,364
  5. Step 5: Solve for x
    x = 21,008,183,364/97,029
  6. Step 6: Final answer
    x = 216,514.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.