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Finding the Third Proportional to 53,542.50 and 119,053

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Solution

The third proportional to 53,542.50 and 119,053 is: 264,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542.50 : 119,053 = 119,053 : x
  2. Step 2: Convert to fraction form
    53,542.50/119,053 = 119,053/x
  3. Step 3: Cross multiply
    53,542.50x = 119,053 × 119,053
  4. Step 4: Simplify right side
    53,542.50x = 14,173,616,809
  5. Step 5: Solve for x
    x = 14,173,616,809/53,542.50
  6. Step 6: Final answer
    x = 264,717.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.