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Finding the Third Proportional to 108,725 and 235,545

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Solution

The third proportional to 108,725 and 235,545 is: 510,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,725 : 235,545 = 235,545 : x
  2. Step 2: Convert to fraction form
    108,725/235,545 = 235,545/x
  3. Step 3: Cross multiply
    108,725x = 235,545 × 235,545
  4. Step 4: Simplify right side
    108,725x = 55,481,447,025
  5. Step 5: Solve for x
    x = 55,481,447,025/108,725
  6. Step 6: Final answer
    x = 510,291.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.