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Finding the Third Proportional to 62,944 and 98,240

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Solution

The third proportional to 62,944 and 98,240 is: 153,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,944 : 98,240 = 98,240 : x
  2. Step 2: Convert to fraction form
    62,944/98,240 = 98,240/x
  3. Step 3: Cross multiply
    62,944x = 98,240 × 98,240
  4. Step 4: Simplify right side
    62,944x = 9,651,097,600
  5. Step 5: Solve for x
    x = 9,651,097,600/62,944
  6. Step 6: Final answer
    x = 153,328.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.