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Finding the Third Proportional to 83,835 and 119,502

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Solution

The third proportional to 83,835 and 119,502 is: 170,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,835 : 119,502 = 119,502 : x
  2. Step 2: Convert to fraction form
    83,835/119,502 = 119,502/x
  3. Step 3: Cross multiply
    83,835x = 119,502 × 119,502
  4. Step 4: Simplify right side
    83,835x = 14,280,728,004
  5. Step 5: Solve for x
    x = 14,280,728,004/83,835
  6. Step 6: Final answer
    x = 170,343.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.