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Finding the Third Proportional to 137,710.50 and 291,957

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Solution

The third proportional to 137,710.50 and 291,957 is: 618,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,710.50 : 291,957 = 291,957 : x
  2. Step 2: Convert to fraction form
    137,710.50/291,957 = 291,957/x
  3. Step 3: Cross multiply
    137,710.50x = 291,957 × 291,957
  4. Step 4: Simplify right side
    137,710.50x = 85,238,889,849
  5. Step 5: Solve for x
    x = 85,238,889,849/137,710.50
  6. Step 6: Final answer
    x = 618,971.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.