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Finding the Third Proportional to 136,179 and 292,032

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Solution

The third proportional to 136,179 and 292,032 is: 626,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,179 : 292,032 = 292,032 : x
  2. Step 2: Convert to fraction form
    136,179/292,032 = 292,032/x
  3. Step 3: Cross multiply
    136,179x = 292,032 × 292,032
  4. Step 4: Simplify right side
    136,179x = 85,282,689,024
  5. Step 5: Solve for x
    x = 85,282,689,024/136,179
  6. Step 6: Final answer
    x = 626,254.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.