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Finding the Third Proportional to 82,598 and 119,248

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Solution

The third proportional to 82,598 and 119,248 is: 172,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,598 : 119,248 = 119,248 : x
  2. Step 2: Convert to fraction form
    82,598/119,248 = 119,248/x
  3. Step 3: Cross multiply
    82,598x = 119,248 × 119,248
  4. Step 4: Simplify right side
    82,598x = 14,220,085,504
  5. Step 5: Solve for x
    x = 14,220,085,504/82,598
  6. Step 6: Final answer
    x = 172,160.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.