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Finding the Third Proportional to 138,134 and 286,096

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Solution

The third proportional to 138,134 and 286,096 is: 592,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,134 : 286,096 = 286,096 : x
  2. Step 2: Convert to fraction form
    138,134/286,096 = 286,096/x
  3. Step 3: Cross multiply
    138,134x = 286,096 × 286,096
  4. Step 4: Simplify right side
    138,134x = 81,850,921,216
  5. Step 5: Solve for x
    x = 81,850,921,216/138,134
  6. Step 6: Final answer
    x = 592,547.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.