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Finding the Third Proportional to 107,264 and 160,688

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Solution

The third proportional to 107,264 and 160,688 is: 240,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,264 : 160,688 = 160,688 : x
  2. Step 2: Convert to fraction form
    107,264/160,688 = 160,688/x
  3. Step 3: Cross multiply
    107,264x = 160,688 × 160,688
  4. Step 4: Simplify right side
    107,264x = 25,820,633,344
  5. Step 5: Solve for x
    x = 25,820,633,344/107,264
  6. Step 6: Final answer
    x = 240,720.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.