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Finding the Third Proportional to 108,573.19 and 164,705.06

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Solution

The third proportional to 108,573.19 and 164,705.06 is: 249,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,573.19 : 164,705.06 = 164,705.06 : x
  2. Step 2: Convert to fraction form
    108,573.19/164,705.06 = 164,705.06/x
  3. Step 3: Cross multiply
    108,573.19x = 164,705.06 × 164,705.06
  4. Step 4: Simplify right side
    108,573.19x = 27,127,757,613.13
  5. Step 5: Solve for x
    x = 27,127,757,613.13/108,573.19
  6. Step 6: Final answer
    x = 249,856.88

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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.