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Finding the Third Proportional to 111,577.50 and 169,988.63

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Solution

The third proportional to 111,577.50 and 169,988.63 is: 258,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,577.50 : 169,988.63 = 169,988.63 : x
  2. Step 2: Convert to fraction form
    111,577.50/169,988.63 = 169,988.63/x
  3. Step 3: Cross multiply
    111,577.50x = 169,988.63 × 169,988.63
  4. Step 4: Simplify right side
    111,577.50x = 28,896,132,629.39
  5. Step 5: Solve for x
    x = 28,896,132,629.39/111,577.50
  6. Step 6: Final answer
    x = 258,978.13

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