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Finding the Third Proportional to 137,065 and 292,226

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Solution

The third proportional to 137,065 and 292,226 is: 623,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065 : 292,226 = 292,226 : x
  2. Step 2: Convert to fraction form
    137,065/292,226 = 292,226/x
  3. Step 3: Cross multiply
    137,065x = 292,226 × 292,226
  4. Step 4: Simplify right side
    137,065x = 85,396,035,076
  5. Step 5: Solve for x
    x = 85,396,035,076/137,065
  6. Step 6: Final answer
    x = 623,033.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.