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Finding the Third Proportional to 93,156 and 147,569

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Solution

The third proportional to 93,156 and 147,569 is: 233,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,156 : 147,569 = 147,569 : x
  2. Step 2: Convert to fraction form
    93,156/147,569 = 147,569/x
  3. Step 3: Cross multiply
    93,156x = 147,569 × 147,569
  4. Step 4: Simplify right side
    93,156x = 21,776,609,761
  5. Step 5: Solve for x
    x = 21,776,609,761/93,156
  6. Step 6: Final answer
    x = 233,764.97

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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.