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Finding the Third Proportional to 111,142.50 and 169,437

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Solution

The third proportional to 111,142.50 and 169,437 is: 258,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,142.50 : 169,437 = 169,437 : x
  2. Step 2: Convert to fraction form
    111,142.50/169,437 = 169,437/x
  3. Step 3: Cross multiply
    111,142.50x = 169,437 × 169,437
  4. Step 4: Simplify right side
    111,142.50x = 28,708,896,969
  5. Step 5: Solve for x
    x = 28,708,896,969/111,142.50
  6. Step 6: Final answer
    x = 258,307.10

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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.