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Finding the Third Proportional to 70,632 and 149,688

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Solution

The third proportional to 70,632 and 149,688 is: 317,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632 : 149,688 = 149,688 : x
  2. Step 2: Convert to fraction form
    70,632/149,688 = 149,688/x
  3. Step 3: Cross multiply
    70,632x = 149,688 × 149,688
  4. Step 4: Simplify right side
    70,632x = 22,406,497,344
  5. Step 5: Solve for x
    x = 22,406,497,344/70,632
  6. Step 6: Final answer
    x = 317,228.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.