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Finding the Third Proportional to 112,140 and 168,681

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Solution

The third proportional to 112,140 and 168,681 is: 253,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,140 : 168,681 = 168,681 : x
  2. Step 2: Convert to fraction form
    112,140/168,681 = 168,681/x
  3. Step 3: Cross multiply
    112,140x = 168,681 × 168,681
  4. Step 4: Simplify right side
    112,140x = 28,453,279,761
  5. Step 5: Solve for x
    x = 28,453,279,761/112,140
  6. Step 6: Final answer
    x = 253,729.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.