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Finding the Third Proportional to 96,786 and 145,746

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Solution

The third proportional to 96,786 and 145,746 is: 219,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,786 : 145,746 = 145,746 : x
  2. Step 2: Convert to fraction form
    96,786/145,746 = 145,746/x
  3. Step 3: Cross multiply
    96,786x = 145,746 × 145,746
  4. Step 4: Simplify right side
    96,786x = 21,241,896,516
  5. Step 5: Solve for x
    x = 21,241,896,516/96,786
  6. Step 6: Final answer
    x = 219,472.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.