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Finding the Third Proportional to 114,829.88 and 172,359

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Solution

The third proportional to 114,829.88 and 172,359 is: 258,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,829.88 : 172,359 = 172,359 : x
  2. Step 2: Convert to fraction form
    114,829.88/172,359 = 172,359/x
  3. Step 3: Cross multiply
    114,829.88x = 172,359 × 172,359
  4. Step 4: Simplify right side
    114,829.88x = 29,707,624,881
  5. Step 5: Solve for x
    x = 29,707,624,881/114,829.88
  6. Step 6: Final answer
    x = 258,709.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.