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Finding the Third Proportional to 123,127 and 201,032

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Solution

The third proportional to 123,127 and 201,032 is: 328,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,127 : 201,032 = 201,032 : x
  2. Step 2: Convert to fraction form
    123,127/201,032 = 201,032/x
  3. Step 3: Cross multiply
    123,127x = 201,032 × 201,032
  4. Step 4: Simplify right side
    123,127x = 40,413,865,024
  5. Step 5: Solve for x
    x = 40,413,865,024/123,127
  6. Step 6: Final answer
    x = 328,229.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.