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Finding the Third Proportional to 117,555 and 171,403.50

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Solution

The third proportional to 117,555 and 171,403.50 is: 249,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,555 : 171,403.50 = 171,403.50 : x
  2. Step 2: Convert to fraction form
    117,555/171,403.50 = 171,403.50/x
  3. Step 3: Cross multiply
    117,555x = 171,403.50 × 171,403.50
  4. Step 4: Simplify right side
    117,555x = 29,379,159,812.25
  5. Step 5: Solve for x
    x = 29,379,159,812.25/117,555
  6. Step 6: Final answer
    x = 249,918.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.