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Finding the Third Proportional to 117,501.75 and 171,300

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Solution

The third proportional to 117,501.75 and 171,300 is: 249,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,501.75 : 171,300 = 171,300 : x
  2. Step 2: Convert to fraction form
    117,501.75/171,300 = 171,300/x
  3. Step 3: Cross multiply
    117,501.75x = 171,300 × 171,300
  4. Step 4: Simplify right side
    117,501.75x = 29,343,690,000
  5. Step 5: Solve for x
    x = 29,343,690,000/117,501.75
  6. Step 6: Final answer
    x = 249,729.81

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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.