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Finding the Third Proportional to 67,557 and 156,397.50

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Solution

The third proportional to 67,557 and 156,397.50 is: 362,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,557 : 156,397.50 = 156,397.50 : x
  2. Step 2: Convert to fraction form
    67,557/156,397.50 = 156,397.50/x
  3. Step 3: Cross multiply
    67,557x = 156,397.50 × 156,397.50
  4. Step 4: Simplify right side
    67,557x = 24,460,178,006.25
  5. Step 5: Solve for x
    x = 24,460,178,006.25/67,557
  6. Step 6: Final answer
    x = 362,067.26

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.