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Finding the Third Proportional to 69,903.50 and 152,095

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Solution

The third proportional to 69,903.50 and 152,095 is: 330,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,903.50 : 152,095 = 152,095 : x
  2. Step 2: Convert to fraction form
    69,903.50/152,095 = 152,095/x
  3. Step 3: Cross multiply
    69,903.50x = 152,095 × 152,095
  4. Step 4: Simplify right side
    69,903.50x = 23,132,889,025
  5. Step 5: Solve for x
    x = 23,132,889,025/69,903.50
  6. Step 6: Final answer
    x = 330,926.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.