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Finding the Third Proportional to 61,929.56 and 137,462.06

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Solution

The third proportional to 61,929.56 and 137,462.06 is: 305,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,929.56 : 137,462.06 = 137,462.06 : x
  2. Step 2: Convert to fraction form
    61,929.56/137,462.06 = 137,462.06/x
  3. Step 3: Cross multiply
    61,929.56x = 137,462.06 × 137,462.06
  4. Step 4: Simplify right side
    61,929.56x = 18,895,818,626.75
  5. Step 5: Solve for x
    x = 18,895,818,626.75/61,929.56
  6. Step 6: Final answer
    x = 305,117.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.