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Finding the Third Proportional to 93,136.50 and 147,541.50

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Solution

The third proportional to 93,136.50 and 147,541.50 is: 233,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,136.50 : 147,541.50 = 147,541.50 : x
  2. Step 2: Convert to fraction form
    93,136.50/147,541.50 = 147,541.50/x
  3. Step 3: Cross multiply
    93,136.50x = 147,541.50 × 147,541.50
  4. Step 4: Simplify right side
    93,136.50x = 21,768,494,222.25
  5. Step 5: Solve for x
    x = 21,768,494,222.25/93,136.50
  6. Step 6: Final answer
    x = 233,726.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.