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Finding the Third Proportional to 102,292 and 157,004

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Solution

The third proportional to 102,292 and 157,004 is: 240,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,292 : 157,004 = 157,004 : x
  2. Step 2: Convert to fraction form
    102,292/157,004 = 157,004/x
  3. Step 3: Cross multiply
    102,292x = 157,004 × 157,004
  4. Step 4: Simplify right side
    102,292x = 24,650,256,016
  5. Step 5: Solve for x
    x = 24,650,256,016/102,292
  6. Step 6: Final answer
    x = 240,979.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.