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Finding the Third Proportional to 96,618 and 144,035

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Solution

The third proportional to 96,618 and 144,035 is: 214,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,618 : 144,035 = 144,035 : x
  2. Step 2: Convert to fraction form
    96,618/144,035 = 144,035/x
  3. Step 3: Cross multiply
    96,618x = 144,035 × 144,035
  4. Step 4: Simplify right side
    96,618x = 20,746,081,225
  5. Step 5: Solve for x
    x = 20,746,081,225/96,618
  6. Step 6: Final answer
    x = 214,722.74

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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.