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Finding the Third Proportional to 102,346.50 and 150,594

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Solution

The third proportional to 102,346.50 and 150,594 is: 221,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346.50 : 150,594 = 150,594 : x
  2. Step 2: Convert to fraction form
    102,346.50/150,594 = 150,594/x
  3. Step 3: Cross multiply
    102,346.50x = 150,594 × 150,594
  4. Step 4: Simplify right side
    102,346.50x = 22,678,552,836
  5. Step 5: Solve for x
    x = 22,678,552,836/102,346.50
  6. Step 6: Final answer
    x = 221,586.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.