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Finding the Third Proportional to 98,710 and 144,376

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Solution

The third proportional to 98,710 and 144,376 is: 211,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,710 : 144,376 = 144,376 : x
  2. Step 2: Convert to fraction form
    98,710/144,376 = 144,376/x
  3. Step 3: Cross multiply
    98,710x = 144,376 × 144,376
  4. Step 4: Simplify right side
    98,710x = 20,844,429,376
  5. Step 5: Solve for x
    x = 20,844,429,376/98,710
  6. Step 6: Final answer
    x = 211,168.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.