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Finding the Third Proportional to 101,097 and 156,570.75

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Solution

The third proportional to 101,097 and 156,570.75 is: 242,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097 : 156,570.75 = 156,570.75 : x
  2. Step 2: Convert to fraction form
    101,097/156,570.75 = 156,570.75/x
  3. Step 3: Cross multiply
    101,097x = 156,570.75 × 156,570.75
  4. Step 4: Simplify right side
    101,097x = 24,514,399,755.56
  5. Step 5: Solve for x
    x = 24,514,399,755.56/101,097
  6. Step 6: Final answer
    x = 242,483.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.