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Finding the Third Proportional to 76,746 and 164,502

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Solution

The third proportional to 76,746 and 164,502 is: 352,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,746 : 164,502 = 164,502 : x
  2. Step 2: Convert to fraction form
    76,746/164,502 = 164,502/x
  3. Step 3: Cross multiply
    76,746x = 164,502 × 164,502
  4. Step 4: Simplify right side
    76,746x = 27,060,908,004
  5. Step 5: Solve for x
    x = 27,060,908,004/76,746
  6. Step 6: Final answer
    x = 352,603.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.