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Finding the Third Proportional to 53,581.50 and 111,537

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Solution

The third proportional to 53,581.50 and 111,537 is: 232,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,581.50 : 111,537 = 111,537 : x
  2. Step 2: Convert to fraction form
    53,581.50/111,537 = 111,537/x
  3. Step 3: Cross multiply
    53,581.50x = 111,537 × 111,537
  4. Step 4: Simplify right side
    53,581.50x = 12,440,502,369
  5. Step 5: Solve for x
    x = 12,440,502,369/53,581.50
  6. Step 6: Final answer
    x = 232,179.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.