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Finding the Third Proportional to 93,706.50 and 149,875.50

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Solution

The third proportional to 93,706.50 and 149,875.50 is: 239,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,706.50 : 149,875.50 = 149,875.50 : x
  2. Step 2: Convert to fraction form
    93,706.50/149,875.50 = 149,875.50/x
  3. Step 3: Cross multiply
    93,706.50x = 149,875.50 × 149,875.50
  4. Step 4: Simplify right side
    93,706.50x = 22,462,665,500.25
  5. Step 5: Solve for x
    x = 22,462,665,500.25/93,706.50
  6. Step 6: Final answer
    x = 239,712.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.