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Finding the Third Proportional to 69,502.50 and 152,537.06

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Solution

The third proportional to 69,502.50 and 152,537.06 is: 334,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,502.50 : 152,537.06 = 152,537.06 : x
  2. Step 2: Convert to fraction form
    69,502.50/152,537.06 = 152,537.06/x
  3. Step 3: Cross multiply
    69,502.50x = 152,537.06 × 152,537.06
  4. Step 4: Simplify right side
    69,502.50x = 23,267,555,436.13
  5. Step 5: Solve for x
    x = 23,267,555,436.13/69,502.50
  6. Step 6: Final answer
    x = 334,772.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.