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Finding the Third Proportional to 106,171.50 and 232,032

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Solution

The third proportional to 106,171.50 and 232,032 is: 507,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,171.50 : 232,032 = 232,032 : x
  2. Step 2: Convert to fraction form
    106,171.50/232,032 = 232,032/x
  3. Step 3: Cross multiply
    106,171.50x = 232,032 × 232,032
  4. Step 4: Simplify right side
    106,171.50x = 53,838,849,024
  5. Step 5: Solve for x
    x = 53,838,849,024/106,171.50
  6. Step 6: Final answer
    x = 507,093.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.