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Finding the Third Proportional to 115,417.41 and 172,662.89

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Solution

The third proportional to 115,417.41 and 172,662.89 is: 258,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,417.41 : 172,662.89 = 172,662.89 : x
  2. Step 2: Convert to fraction form
    115,417.41/172,662.89 = 172,662.89/x
  3. Step 3: Cross multiply
    115,417.41x = 172,662.89 × 172,662.89
  4. Step 4: Simplify right side
    115,417.41x = 29,812,473,798.98
  5. Step 5: Solve for x
    x = 29,812,473,798.98/115,417.41
  6. Step 6: Final answer
    x = 258,301.37

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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.