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Finding the Third Proportional to 53,446 and 115,454

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Solution

The third proportional to 53,446 and 115,454 is: 249,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,446 : 115,454 = 115,454 : x
  2. Step 2: Convert to fraction form
    53,446/115,454 = 115,454/x
  3. Step 3: Cross multiply
    53,446x = 115,454 × 115,454
  4. Step 4: Simplify right side
    53,446x = 13,329,626,116
  5. Step 5: Solve for x
    x = 13,329,626,116/53,446
  6. Step 6: Final answer
    x = 249,403.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.