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Finding the Third Proportional to 108,575 and 164,708

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Solution

The third proportional to 108,575 and 164,708 is: 249,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,575 : 164,708 = 164,708 : x
  2. Step 2: Convert to fraction form
    108,575/164,708 = 164,708/x
  3. Step 3: Cross multiply
    108,575x = 164,708 × 164,708
  4. Step 4: Simplify right side
    108,575x = 27,128,725,264
  5. Step 5: Solve for x
    x = 27,128,725,264/108,575
  6. Step 6: Final answer
    x = 249,861.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.