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Finding the Third Proportional to 93,216 and 147,672

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Solution

The third proportional to 93,216 and 147,672 is: 233,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,216 : 147,672 = 147,672 : x
  2. Step 2: Convert to fraction form
    93,216/147,672 = 147,672/x
  3. Step 3: Cross multiply
    93,216x = 147,672 × 147,672
  4. Step 4: Simplify right side
    93,216x = 21,807,019,584
  5. Step 5: Solve for x
    x = 21,807,019,584/93,216
  6. Step 6: Final answer
    x = 233,940.74

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Why These Related Problems?

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