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Finding the Third Proportional to 79,320 and 105,746

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Solution

The third proportional to 79,320 and 105,746 is: 140,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,320 : 105,746 = 105,746 : x
  2. Step 2: Convert to fraction form
    79,320/105,746 = 105,746/x
  3. Step 3: Cross multiply
    79,320x = 105,746 × 105,746
  4. Step 4: Simplify right side
    79,320x = 11,182,216,516
  5. Step 5: Solve for x
    x = 11,182,216,516/79,320
  6. Step 6: Final answer
    x = 140,976.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.