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Finding the Third Proportional to 113,090.69 and 172,289.23

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Solution

The third proportional to 113,090.69 and 172,289.23 is: 262,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,090.69 : 172,289.23 = 172,289.23 : x
  2. Step 2: Convert to fraction form
    113,090.69/172,289.23 = 172,289.23/x
  3. Step 3: Cross multiply
    113,090.69x = 172,289.23 × 172,289.23
  4. Step 4: Simplify right side
    113,090.69x = 29,683,578,935.51
  5. Step 5: Solve for x
    x = 29,683,578,935.51/113,090.69
  6. Step 6: Final answer
    x = 262,475.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.