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Finding the Third Proportional to 73,440 and 98,688

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Solution

The third proportional to 73,440 and 98,688 is: 132,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,440 : 98,688 = 98,688 : x
  2. Step 2: Convert to fraction form
    73,440/98,688 = 98,688/x
  3. Step 3: Cross multiply
    73,440x = 98,688 × 98,688
  4. Step 4: Simplify right side
    73,440x = 9,739,321,344
  5. Step 5: Solve for x
    x = 9,739,321,344/73,440
  6. Step 6: Final answer
    x = 132,616.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.