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Finding the Third Proportional to 93,312 and 126,144

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Solution

The third proportional to 93,312 and 126,144 is: 170,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,312 : 126,144 = 126,144 : x
  2. Step 2: Convert to fraction form
    93,312/126,144 = 126,144/x
  3. Step 3: Cross multiply
    93,312x = 126,144 × 126,144
  4. Step 4: Simplify right side
    93,312x = 15,912,308,736
  5. Step 5: Solve for x
    x = 15,912,308,736/93,312
  6. Step 6: Final answer
    x = 170,528

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.