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Finding the Third Proportional to 53,598 and 117,564

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Solution

The third proportional to 53,598 and 117,564 is: 257,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,598 : 117,564 = 117,564 : x
  2. Step 2: Convert to fraction form
    53,598/117,564 = 117,564/x
  3. Step 3: Cross multiply
    53,598x = 117,564 × 117,564
  4. Step 4: Simplify right side
    53,598x = 13,821,294,096
  5. Step 5: Solve for x
    x = 13,821,294,096/53,598
  6. Step 6: Final answer
    x = 257,869.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.