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Finding the Third Proportional to 62,332 and 148,174

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Solution

The third proportional to 62,332 and 148,174 is: 352,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,332 : 148,174 = 148,174 : x
  2. Step 2: Convert to fraction form
    62,332/148,174 = 148,174/x
  3. Step 3: Cross multiply
    62,332x = 148,174 × 148,174
  4. Step 4: Simplify right side
    62,332x = 21,955,534,276
  5. Step 5: Solve for x
    x = 21,955,534,276/62,332
  6. Step 6: Final answer
    x = 352,235.36

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.