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Finding the Third Proportional to 63,124.31 and 146,146.78

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Solution

The third proportional to 63,124.31 and 146,146.78 is: 338,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,124.31 : 146,146.78 = 146,146.78 : x
  2. Step 2: Convert to fraction form
    63,124.31/146,146.78 = 146,146.78/x
  3. Step 3: Cross multiply
    63,124.31x = 146,146.78 × 146,146.78
  4. Step 4: Simplify right side
    63,124.31x = 21,358,881,669.74
  5. Step 5: Solve for x
    x = 21,358,881,669.74/63,124.31
  6. Step 6: Final answer
    x = 338,362.21

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.