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Finding the Third Proportional to 70,152 and 147,792

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Solution

The third proportional to 70,152 and 147,792 is: 311,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152 : 147,792 = 147,792 : x
  2. Step 2: Convert to fraction form
    70,152/147,792 = 147,792/x
  3. Step 3: Cross multiply
    70,152x = 147,792 × 147,792
  4. Step 4: Simplify right side
    70,152x = 21,842,475,264
  5. Step 5: Solve for x
    x = 21,842,475,264/70,152
  6. Step 6: Final answer
    x = 311,359.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.