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Finding the Third Proportional to 136,348 and 292,124

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Solution

The third proportional to 136,348 and 292,124 is: 625,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,348 : 292,124 = 292,124 : x
  2. Step 2: Convert to fraction form
    136,348/292,124 = 292,124/x
  3. Step 3: Cross multiply
    136,348x = 292,124 × 292,124
  4. Step 4: Simplify right side
    136,348x = 85,336,431,376
  5. Step 5: Solve for x
    x = 85,336,431,376/136,348
  6. Step 6: Final answer
    x = 625,872.26

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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.