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Finding the Third Proportional to 98,944 and 153,024

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Solution

The third proportional to 98,944 and 153,024 is: 236,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,944 : 153,024 = 153,024 : x
  2. Step 2: Convert to fraction form
    98,944/153,024 = 153,024/x
  3. Step 3: Cross multiply
    98,944x = 153,024 × 153,024
  4. Step 4: Simplify right side
    98,944x = 23,416,344,576
  5. Step 5: Solve for x
    x = 23,416,344,576/98,944
  6. Step 6: Final answer
    x = 236,662.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.