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Finding the Third Proportional to 71,079 and 152,869.50

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Solution

The third proportional to 71,079 and 152,869.50 is: 328,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,079 : 152,869.50 = 152,869.50 : x
  2. Step 2: Convert to fraction form
    71,079/152,869.50 = 152,869.50/x
  3. Step 3: Cross multiply
    71,079x = 152,869.50 × 152,869.50
  4. Step 4: Simplify right side
    71,079x = 23,369,084,030.25
  5. Step 5: Solve for x
    x = 23,369,084,030.25/71,079
  6. Step 6: Final answer
    x = 328,776.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.