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Finding the Third Proportional to 93,133.50 and 139,972.50

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Solution

The third proportional to 93,133.50 and 139,972.50 is: 210,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,133.50 : 139,972.50 = 139,972.50 : x
  2. Step 2: Convert to fraction form
    93,133.50/139,972.50 = 139,972.50/x
  3. Step 3: Cross multiply
    93,133.50x = 139,972.50 × 139,972.50
  4. Step 4: Simplify right side
    93,133.50x = 19,592,300,756.25
  5. Step 5: Solve for x
    x = 19,592,300,756.25/93,133.50
  6. Step 6: Final answer
    x = 210,367.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.