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Finding the Third Proportional to 46,621 and 72,320

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Solution

The third proportional to 46,621 and 72,320 is: 112,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,621 : 72,320 = 72,320 : x
  2. Step 2: Convert to fraction form
    46,621/72,320 = 72,320/x
  3. Step 3: Cross multiply
    46,621x = 72,320 × 72,320
  4. Step 4: Simplify right side
    46,621x = 5,230,182,400
  5. Step 5: Solve for x
    x = 5,230,182,400/46,621
  6. Step 6: Final answer
    x = 112,185.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.