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Finding the Third Proportional to 114,830.50 and 172,359.75

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Solution

The third proportional to 114,830.50 and 172,359.75 is: 258,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,830.50 : 172,359.75 = 172,359.75 : x
  2. Step 2: Convert to fraction form
    114,830.50/172,359.75 = 172,359.75/x
  3. Step 3: Cross multiply
    114,830.50x = 172,359.75 × 172,359.75
  4. Step 4: Simplify right side
    114,830.50x = 29,707,883,420.06
  5. Step 5: Solve for x
    x = 29,707,883,420.06/114,830.50
  6. Step 6: Final answer
    x = 258,710.74

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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.