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Finding the Third Proportional to 72,983 and 155,382

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Solution

The third proportional to 72,983 and 155,382 is: 330,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,983 : 155,382 = 155,382 : x
  2. Step 2: Convert to fraction form
    72,983/155,382 = 155,382/x
  3. Step 3: Cross multiply
    72,983x = 155,382 × 155,382
  4. Step 4: Simplify right side
    72,983x = 24,143,565,924
  5. Step 5: Solve for x
    x = 24,143,565,924/72,983
  6. Step 6: Final answer
    x = 330,810.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.