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Finding the Third Proportional to 108,965.25 and 164,075.63

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Solution

The third proportional to 108,965.25 and 164,075.63 is: 247,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,965.25 : 164,075.63 = 164,075.63 : x
  2. Step 2: Convert to fraction form
    108,965.25/164,075.63 = 164,075.63/x
  3. Step 3: Cross multiply
    108,965.25x = 164,075.63 × 164,075.63
  4. Step 4: Simplify right side
    108,965.25x = 26,920,810,719.14
  5. Step 5: Solve for x
    x = 26,920,810,719.14/108,965.25
  6. Step 6: Final answer
    x = 247,058.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.